<PAGE>   1
                                                                      EXHIBIT 24



                         PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                /s/ Howard H. Baker, Jr.
                                                Howard H. Baker, Jr.


<PAGE>   2



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ W. L. Lyons Brown, Jr.
                                                     W. L. Lyons Brown, Jr.


<PAGE>   3



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ H. John Greeniaus
                                                     H. John Greeniaus


<PAGE>   4



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ Forrest R. Haselton
                                                     Forrest R. Haselton


<PAGE>   5



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ Berdon Lawrence
                                                     Berdon Lawrence


<PAGE>   6



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ James L. Pate
                                                     James L. Pate


<PAGE>   7



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ James J. Postl
                                                     James J. Postl


<PAGE>   8



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ Terry L. Savage
                                                     Terry L. Savage


<PAGE>   9



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ Brent Scowcroft
                                                     Brent Scowcroft


<PAGE>   10



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ Gerald B. Smith
                                                     Gerald B. Smith


<PAGE>   11



                          PENNZOIL-QUAKER STATE COMPANY

                                POWER OF ATTORNEY


         WHEREAS, PENNZOIL-QUAKER STATE COMPANY, a Delaware corporation (the
"Company"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Exchange Act of 1934, as amended (the "Act"),
an Annual Report on Form 10-K for the fiscal year ended December 31, 2000, as
prescribed by the Commission pursuant to the act and the rules and regulations
of the Commission promulgated thereunder, with such amendments, supplements or
appendices thereto as may be necessary or appropriate, together with any and all
exhibits and other documents having relation to said Annual Report;

         NOW, THEREFORE, the undersigned in his capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint
MICHAEL J. MARATEA, THOMAS P. KELLAGHER and JAMES J. POSTL and each of them
severally, his true and lawful attorney or attorneys with power to act with or
without the others, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as a director or officer,
or both, as the case may be, of the Company, said Annual Report and any and all
amendments, supplements or appendices thereto as said attorneys or any of them
shall deem necessary or incidental in connection therewith and to file the same
or cause the same to be filed with the Commission. Each of said attorneys shall
have full power and authority to do and perform in the name and on behalf of the
undersigned in any and all capacities, every act whatsoever necessary or
desirable to be done to the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

         IN WITNESS WHEREOF, the undersigned has executed this instrument on
this _____ day of March, 2001.


                                                     /s/ Lorne R. Waxlax
                                                     Lorne R. Waxlax