Document:

<PAGE>   1
                                                                     EXHIBIT 4.4

===============================================================================

                            TELE-COMMUNICATIONS, INC.

                                       and

                          THE BANK OF NEW YORK, Trustee

                                ----------------

                          SECOND SUPPLEMENTAL INDENTURE
                          Dated as of February 25, 2000

              Supplement to Indenture Dated as of December 20, 1995
                               as supplemented by
             First Supplemental Indenture Dated as of March 9, 1999

                              --------------------

                          6.875% Senior Notes due 2006
                        7.875% Senior Debentures due 2026
                           Medium Term Notes, Series C

===============================================================================

<PAGE>   2

         THIS SECOND SUPPLEMENTAL INDENTURE (this "Supplemental Indenture") is
made as of February 25, 2000, between TELE-COMMUNICATIONS, INC., a Delaware
corporation ("TCI" or, the "Company"), as successor issuer, and THE BANK OF NEW
YORK, a New York banking corporation (the "Trustee"), as trustee.

                                    RECITALS

         WHEREAS, TCI and the Trustee are parties to an Indenture, dated as of
December 29, 1995, as supplemented by a First Supplemental Indenture, dated as
of March 9, 1999 (collectively, the "Original Indenture"), pursuant to which the
Company issued (as successor issuer), and the Trustee authenticated and
delivered the following securities which are, as of the date hereof, currently
outstanding (collectively, the "Securities"):

(a) $400 million aggregate principal amount of the Company's 6.875% Senior Notes
    due 2006;

(b) $600 million aggregate principal amount of the Company's 7.875%
    Senior Debentures due 2026; and

(c) certain Medium Term Notes, Series C;

         WHEREAS, the Board of Directors of TCI has determined that it is in the
best interests of TCI to convert its corporate form from a Delaware corporation
to a Delaware limited liability company pursuant to Section 266 of the Delaware
General Corporation Law and Section 18-214 of the Delaware Limited Liability
Company Act (the "Conversion");

         WHEREAS, the Board of Directors of TCI has determined that it is
advisable to amend certain provisions of the Original Indenture which may affect
the Conversion;

         WHEREAS, the Original Indenture provides that the Company and the
Trustee may amend or supplement the Original Indenture or the Securities of any
series without notice to or consent of any Holder of Securities or coupons to
make any change that, in the opinion of the Board of Directors, does not
materially adversely affect the rights of any Securityholder or the Holder of
any coupon;

         WHEREAS, the Board of Directors of TCI has determined that the
amendments to the Indenture contained in this Supplemental Indenture do not
materially adversely affect the rights of any Securityholder or the Holder of
any coupon; and

         WHEREAS, this Supplemental Indenture has been duly authorized by all
necessary action on the part of TCI.

         NOW, THEREFORE, TCI and the Trustee agree as follows for the equal and
ratable benefit of the Holders:

                                      - 1 -

<PAGE>   3

                                    ARTICLE I

                           DEFINITIONS; INTERPRETATION

         SECTION 1.1 Definitions. Capitalized terms that are defined in the
preamble or the recitals hereto shall have such meanings throughout this
Supplemental Indenture. Capitalized terms used but not defined in this
Supplemental Indenture have the meanings assigned thereto in the Original
Indenture. The meanings assigned to all defined terms used in this Supplemental
Indenture shall be equally applicable to both the singular and plural forms of
such defined terms. The term "Indenture" as used herein means the Original
Indenture, as amended and supplemented by this Supplemental Indenture, or as
otherwise supplemented or amended from time to time by one or more indentures
supplemental thereto or hereto entered into pursuant to the applicable
provisions of the Indenture.

         SECTION 1.2 Interpretation. References in the Original Indenture
(including references in the Original Indenture as amended or supplemented
hereby) to "this Indenture" (and indirect references such as "hereunder,"
"herein" and "hereof") shall be deemed references to the Original Indenture as
amended and supplemented hereby. All of the covenants, agreements and provisions
of this Supplemental Indenture shall be deemed to be and construed as part of
the Original Indenture to the same effect as if fully set forth therein and
shall be fully enforceable in the manner provided in the Original Indenture.
Except as otherwise provided in this Supplemental Indenture, all of the
covenants, agreements and provisions of the Original Indenture shall remain in
full force and effect.

                                   ARTICLE II

                                   AMENDMENTS

         SECTION 2.1 Amendments. The following provisions of the Original
Indenture are hereby amended, modified, supplemented or replaced as follows:

                  (a) The definition of "Board of Directors" contained in
         Article One, Section 1.01 of the Original Indenture is amended to read
         in its entirety as follows: "Board of Directors means the Board of
         Directors of the Company or any authorized committee thereof, or, if
         the Company is not a corporation, the equivalent decision making body
         thereof or authorized committee thereof."

                                      - 2 -

<PAGE>   4

                  (b) The definition of "Officer" contained in Article One,
         Section 1.01 of the Original Indenture is amended to add the words "(if
         any)" after the words "Chairman of the Board."

                  (c) The definition of "Subsidiary" contained in Article One,
         Section 1.01 of the Original Indenture is amended in its entirety to
         read as follows: "Subsidiary means any corporation, association,
         partnership or other business entity of which a majority of the total
         voting power of the capital stock or other interests (including
         partnership interests) entitled (without regard to the occurrence of a
         contingency) to vote in the election of directors, managers or trustees
         thereof is at the time owned or controlled, directly or indirectly, by
         (i) the Company, (ii) the Company and one or more of its Subsidiaries
         or (iii) one or more Subsidiaries of the Company."

                  (d) Article Four, Section 4.08 is hereby amended to replace
         the word "corporate" appearing in the heading to such section and as
         the second to the last word of such section with the word "legal."

                  (e) Article Five is hereby amended to replace the word
         "CORPORATION" appearing in the heading thereof with the word "ENTITY."

                  (f) Article Five, Section 5.01 is hereby amended to insert the
         words "or limited liability company" after each occurrence of the word
         "corporation."

                  (g) Article Five, Section 5.01 is also hereby amended to
         insert the following words as a new paragraph after the first paragraph
         thereof: "Nothing in this Indenture shall prohibit the Company from
         effecting a conversion pursuant to applicable law of the Company from a
         corporation into a limited liability company or from a limited
         liability company into a corporation, and any such conversion shall not
         be deemed to be a consolidation, merger or transfer subject to the
         requirements of the immediately preceding paragraph, provided, that
         such conversion by law shall not be deemed to affect any obligations or
         liabilities of the Company incurred prior to such conversion (including
         obligations or liabilities with respect to the Securities). Notice of
         any such conversion shall be promptly delivered to the Trustee."

                  (h) Article Ten, Section 10.15 is hereby amended to insert the
         words "or limited liability company" after the word "corporation" in
         clause (2) thereof.

                                      - 3 -

<PAGE>   5

                                   ARTICLE III

                                  MISCELLANEOUS

         SECTION 3.1 Conflict with the TIA. If any provision of this
Supplemental Indenture modifies or excludes any provision of the TIA that is
required under such Act to be part of and govern the Indenture, the latter
provision of the TIA shall control. If any provision hereof modifies or excludes
any provision of the TIA that may be so modified or excluded, the latter
provision of the TIA shall be deemed to apply to this Supplemental Indenture, as
so modified or excluded, as the case may be.

         SECTION 3.2 Date and Time of Effectiveness. This Supplemental
Indenture shall become a legally effective and binding instrument at and as of
the date hereof.

         SECTION 3.3 Securities Deemed Conformed. As of the date hereof, the
provisions of each Security then outstanding shall be deemed to be conformed,
without the necessity for any reissuance or exchange of such Security or any
other action on the part of the Holders, TCI or the Trustee, so as to reflect
this Supplemental Indenture.

         SECTION 3.4 Successors. All agreements of TCI and the Trustee in this
Supplemental Indenture and in the Indenture shall bind their respective
successors.

         SECTION 3.5 Benefits of Supplemental Indenture. Nothing in this
Supplemental Indenture, express or implied, shall give to any person, other than
the parties hereto and their successors hereunder, any Agent, Authenticating
Agent and the Holders, any benefit or any legal or equitable right, remedy or
claim under this Supplemental Indenture or the Indenture.

         SECTION 3.6 Separability. In case any provision in this Supplemental
Indenture, or in the Indenture, shall be invalid, illegal or unenforceable, the
validity, legality and enforceability of the remaining provisions shall not in
any way be affected or impaired thereby, it being intended that all of the
provisions hereof shall be enforceable to the full extent permitted by law.

         SECTION 3.7 Trustee Responsibility. The Trustee assumes no duties,
responsibilities or liabilities by reason of this Supplemental Indenture other
than as set forth in the Original Indenture. The Trustee assumes no
responsibility for the correctness of the statements herein contained, which

                                      -4-

<PAGE>   6

shall be taken as statements of TCI. This Supplemental Indenture is executed and
accepted by the Trustee subject to all of the terms and conditions of its
acceptance of the trust under the Original Indenture, as fully as if said terms
and conditions were herein set forth in full.

         SECTION 3.8 Headings. The Article and Section headings of this
Supplemental Indenture have been inserted for convenience of reference only, are
not to be considered a part of this Supplemental Indenture and shall in no way
modify or restrict any of the terms or provisions hereof.

         SECTION 3.9 Counterparts. This Supplemental Indenture may be executed
in counterparts, each of which shall for all purposes be deemed to be an
original, and all such counterparts shall together constitute but one and the
same instrument.

         SECTION 3.10 Notices. The addresses for notices to the Company and the
Trustee set forth in Section 11.02 of the Original Indenture shall be amended,
without further action, to read in their entirety as follows:

                  "If to the Company:

                           Tele-Communications, Inc.
                           9197 South Peoria Street
                           Englewood, Colorado 80112
                           Attention: Treasurer

                  If to the Trustee:

                           The Bank of New York
                           101 Barclay Street, Floor 21W
                           New York, New York 10286"

         SECTION 3.11 Governing Law. This Supplemental Indenture shall be
governed by and construed in accordance with the internal laws of the State of
New York.

                                      - 5 -

<PAGE>   7

         IN WITNESS WHEREOF, the parties hereto have caused this Supplemental
Indenture to be duly executed as of the day and year first above written.

                                         TELE-COMMUNICATIONS, INC.

                                         By:
                                            -----------------------------------
                                            Name:
                                            Title:

                                         THE BANK OF NEW YORK, as Trustee

                                         By:
                                            -----------------------------------
                                            Name:
                                            Title:

                                      - 6 -<PAGE>   1
                                                                     EXHIBIT 4.5

                            TELE-COMMUNICATIONS, INC.

                                       and

                          THE BANK OF NEW YORK, Trustee

                                ----------------

                          SIXTH SUPPLEMENTAL INDENTURE
                          Dated as of February 25, 2000

              Supplement to Indenture Dated as of January 29, 1996
                               as supplemented by
           First Supplemental Indenture Dated as of January 29, 1996,
             Second Supplemental Indenture Dated as of May 22, 1996,
            Third Supplemental Indenture Dated as of March 14, 1997,
          Fourth Supplemental Indenture Dated as of March 24, 1997, and
             Fifth Supplemental Indenture Dated as of March 9, 1999

                              --------------------

              8.72% Subordinated Deferrable Interest Notes due 2045
             10.00% Subordinated Deferrable Interest Notes due 2045
              9.65% Subordinated Deferrable Interest Notes due 2027
              9.72% Subordinated Deferrable Interest Notes due 2036

<PAGE>   2

     THIS SIXTH SUPPLEMENTAL INDENTURE (this "Supplemental Indenture") is made
as of February 25, 2000, between TELE-COMMUNICATIONS, INC., a Delaware
corporation ("TCI" or, the "Company"), as successor issuer, and THE BANK OF NEW
YORK, a New York banking corporation (the "Trustee"), as trustee.

                                    RECITALS

     WHEREAS, TCI and the Trustee are parties to an Indenture, dated as of
January 29, 1996, as supplemented by a First Supplemental Indenture, dated as of
January 29, 1996, a Second Supplemental Indenture, dated as of May 22, 1996, a
Third Supplemental Indenture, dated as of March 14, 1997, a Fourth Supplemental
Indenture, dated as of March 24, 1997, and a Fifth Supplemental Indenture, dated
as of March 9, 1999 (collectively, the "Original Indenture"), pursuant to which
the Company issued (as successor issuer), and the Trustee authenticated and
delivered the following securities which are, as of the date hereof, currently
outstanding (collectively, the "Securities"):

(a) $500 million aggregate principal amount of the Company's 8.72% Subordinated
Deferrable Interest Notes due 2045;

(b) $500 million aggregate principal amount of the Company's 10.00% Subordinated
Deferrable Interest Notes due 2045;

(c) $300 million aggregate principal amount of the Company's 9.65% Subordinated
Deferrable Interest Notes due 2027; and

(d) $200 million aggregate principal amount of the Company's 9.72% Subordinated
Deferrable Interest Notes due 2036;

     WHEREAS, the Board of Directors of TCI has determined that it is in the
best interests of TCI to convert its corporate form from a Delaware corporation
to a Delaware limited liability company pursuant to Section 266 of the Delaware
General Corporation Law and Section 18-214 of the Delaware Limited Liability
Company Act (the "Conversion");

     WHEREAS, the Board of Directors of TCI has determined that it is advisable
to amend certain provisions of the Original Indenture which may affect the
Conversion;

     WHEREAS, the Original Indenture provides that the Company and the Trustee
may amend or supplement the Original Indenture or the Securities of any series
without notice to or consent of any Holder of Securities or coupons to make any
change that, in the opinion of the Board of Directors, does not materially
adversely affect the rights of any Securityholder or the Holder of any coupon;

                                      -1-
<PAGE>   3

     WHEREAS, the Board of Directors of TCI has determined that the amendments
to the Indenture contained in this Supplemental Indenture do not materially
adversely affect the rights of any Securityholder or the Holder of any coupon;
and

     WHEREAS, this Supplemental Indenture has been duly authorized by all
necessary action on the part of TCI.

     NOW, THEREFORE, TCI and the Trustee agree as follows for the equal and
ratable benefit of the Holders:

                                   ARTICLE I

                          DEFINITIONS; INTERPRETATION

     SECTION 1.1         Definitions. Capitalized terms that are defined in the
                    preamble or the recitals hereto shall have such meanings
                    throughout this Supplemental Indenture. Capitalized terms
                    used but not defined in this Supplemental Indenture have the
                    meanings assigned thereto in the Original Indenture. The
                    meanings assigned to all defined terms used in this
                    Supplemental Indenture shall be equally applicable to both
                    the singular and plural forms of such defined terms. The
                    term "Indenture" as used herein means the Original
                    Indenture, as amended and supplemented by this Supplemental
                    Indenture, or as otherwise supplemented or amended from time
                    to time by one or more indentures supplemental thereto or
                    hereto entered into pursuant to the applicable provisions of
                    the Indenture.

     SECTION 1.2         Interpretation. References in the Original Indenture
                    (including references in the Original Indenture as amended
                    or supplemented hereby) to "this Indenture" (and indirect
                    references such as "hereunder," "herein" and "hereof") shall
                    be deemed references to the Original Indenture as amended
                    and supplemented hereby. All of the covenants, agreements
                    and provisions of this Supplemental Indenture shall be
                    deemed to be and construed as part of the Original Indenture
                    to the same effect as if fully set forth therein and shall
                    be fully enforceable in the manner provided in the Original
                    Indenture. Except as otherwise provided in this Supplemental
                    Indenture, all of the covenants, agreements and provisions
                    of the Original Indenture shall remain in full force and
                    effect.

                                   ARTICLE II

                                   AMENDMENTS

                                       -2-
<PAGE>   4

     SECTION 2.1         Amendments. The following provisions of the Original
                   Indenture are hereby amended, modified, supplemented or
                   replaced as follows:

          (a)            The definition of "Board of Directors" contained in
                    Article One, Section 1.01 of the Original Indenture is
                    amended to read in its entirety as follows: "Board of
                    Directors means the Board of Directors of the Company or any
                    authorized committee thereof, or, if the Company is not a
                    corporation, the equivalent decision making body thereof or
                    authorized committee thereof."

          (b)            The definition of "Officer" contained in Article
                    One, Section 1.01 of the Original Indenture is amended to
                    add the words "(if any)" after the words "Chairman of the
                    Board."

          (c)            The definition of "Subsidiary" contained in
                    Article One, Section 1.01 of the Original Indenture is
                    amended in its entirety to read as follows: "Subsidiary
                    means any corporation, association, partnership or other
                    business entity of which a majority of the total voting
                    power of the capital stock or other interests (including
                    partnership interests) entitled (without regard to the
                    occurrence of a contingency) to vote in the election of
                    directors, managers or trustees thereof is at the time owned
                    or controlled, directly or indirectly, by (i) the Company,
                    (ii) the Company and one or more of its Subsidiaries or
                    (iii) one or more Subsidiaries of the Company."

          (d)            Article Four, Section 4.04 is hereby amended to
                    replace the word "corporate" appearing in the heading to
                    such section and as the second to the last word of such
                    section with the word "legal."

          (e)            Article Five is hereby amended to replace the word
                    "CORPORATION" appearing in the heading thereof with the word
                    "ENTITY."

          (f)            Article Five, Section 5.01 is hereby amended to
                    insert the words "or limited liability company" after each
                    occurrence of the word "corporation."

          (g)            Article Five, Section 5.01 is also hereby amended
                    to insert the following words as a new paragraph after the
                    first paragraph thereof: "Nothing in this Indenture shall
                    prohibit the Company from effecting a conversion pursuant to
                    applicable law of the Company from a corporation into a
                    limited liability company or from a limited liability
                    company into a corporation, and any such conversion shall
                    not be deemed to be a consolidation, merger or transfer
                    subject to the requirements of the

                                       -3-
<PAGE>   5
                    immediately preceding paragraph, provided, that such
                    conversion by law shall not be deemed to affect any
                    obligations or liabilities of the Company incurred prior to
                    such conversion (including obligations or liabilities with
                    respect to the Securities). Notice of any such conversion
                    shall be promptly delivered to the Trustee."

          (h)            The second sentence of the third paragraph of
                    Section 6.3 to the First Supplemental Indenture of the
                    Original Indenture is hereby amended to insert the words "or
                    limited liability company" after each occurrence of the word
                    "corporation."

          (i)            The second sentence of the third paragraph of
                    Section 6.3 to the Second Supplemental Indenture of the
                    Original Indenture is hereby amended to insert the words "or
                    limited liability company" after each occurrence of the word
                    "corporation."

          (j)            The second sentence of the third paragraph of
                    Section 6.3 to the Third Supplemental Indenture of the
                    Original Indenture is hereby amended to insert the words "or
                    limited liability company" after each occurrence of the word
                    "corporation."

          (k)            The second sentence of the third paragraph of
                    Section 6.3 to the Fourth Supplemental Indenture of the
                    Original Indenture is hereby amended to insert the words "or
                    limited liability company" after each occurrence of the word
                    "corporation."

                                  ARTICLE III

                                 MISCELLANEOUS

     SECTION 3.1         Conflict with the TIA. If any provision of this
                    Supplemental Indenture modifies or excludes any provision of
                    the TIA that is required under such Act to be part of and
                    govern the Indenture, the latter provision of the TIA shall
                    control. If any provision hereof modifies or excludes any
                    provision of the TIA that may be so modified or excluded,
                    the latter provision of the TIA shall be deemed to apply to
                    this Supplemental Indenture, as so modified or excluded, as
                    the case may be.

     SECTION 3.2         Date and Time of Effectiveness. This Supplemental
                    Indenture shall become a legally effective and binding
                    instrument at and as of the date hereof.

                                       -4-
<PAGE>   6

     SECTION 3.3         Securities Deemed Conformed. As of the date
                    hereof, the provisions of each Security then outstanding
                    shall be deemed to be conformed, without the necessity for
                    any reissuance or exchange of such Security or any other
                    action on the part of the Holders, TCI or the Trustee, so as
                    to reflect this Supplemental Indenture.

     SECTION 3.4         Successors. All agreements of TCI and the Trustee
                    in this Supplemental Indenture and in the Indenture shall
                    bind their respective successors.

     SECTION 3.5         Benefits of Supplemental Indenture. Nothing in
                    this Supplemental Indenture, express or implied, shall give
                    to any person, other than the parties hereto and their
                    successors hereunder, any Agent, Authenticating Agent and
                    the Holders, any benefit or any legal or equitable right,
                    remedy or claim under this Supplemental Indenture or the
                    Indenture.

     SECTION 3.6         Separability. In case any provision in this
                    Supplemental Indenture, or in the Indenture, shall be
                    invalid, illegal or unenforceable, the validity, legality
                    and enforceability of the remaining provisions shall not in
                    any way be affected or impaired thereby, it being intended
                    that all of the provisions hereof shall be enforceable to
                    the full extent permitted by law.

     SECTION 3.7         Trustee Responsibility. The Trustee assumes no
                    duties, responsibilities or liabilities by reason of this
                    Supplemental Indenture other than as set forth in the
                    Original Indenture. The Trustee assumes no responsibility
                    for the correctness of the statements herein contained,
                    which shall be taken as statements of TCI. This Supplemental
                    Indenture is executed and accepted by the Trustee subject to
                    all of the terms and conditions of its acceptance of the
                    trust under the Original Indenture, as fully as if said
                    terms and conditions were herein set forth in full.

     SECTION 3.8         Headings. The Article and Section headings of this
                    Supplemental Indenture have been inserted for convenience of
                    reference only, are not to be considered a part of this
                    Supplemental Indenture and shall in no way modify or
                    restrict any of the terms or provisions hereof.

     SECTION 3.9         Counterparts. This Supplemental Indenture may be
                    executed in counterparts, each of which shall for all
                    purposes be deemed to be an original, and all such
                    counterparts shall together constitute but one and the same
                    instrument.

                                       -5-
<PAGE>   7

     SECTION 3.10        Notices. The addresses for notices to the Company
                    and the Trustee set forth in Section 11.02 of the Original
                    Indenture shall be amended, without further action, to read
                    in their entirety as follows:

                    "If to the Company:

                           Tele-Communications, Inc.
                           9197 South Peoria Street
                           Englewood, Colorado 80112
                           Attention: Treasurer

                    If to the Trustee:

                           The Bank of New York
                           101 Barclay Street, Floor 21W
                           New York, New York 10286"

     SECTION 3.11        Governing Law. This Supplemental Indenture shall
                    be governed by and construed in accordance with the internal
                    laws of the State of New York.

                                      -6-
<PAGE>   8

          IN WITNESS WHEREOF, the parties hereto have caused this Supplemental
Indenture to be duly executed as of the day and year first above written.

                                      TELE-COMMUNICATIONS, INC.

                                      By:
                                          -------------------------------------
                                          Name:
                                          Title:

                                      THE BANK OF NEW YORK, as Trustee

                                      By:  ------------------------------------
                                           Name:
                                           Title:

                                      -7-

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