Exhibit 10.5

  

   

  Arrowroot
        Acquisition Corp.

  4553
        Glencoe Ave, Suite 200

  Marina
        Del Rey, CA 90292

   

  March
      4, 2021

   

  Arrowroot
      Acquisition LLC

      4553 Glencoe Ave, Suite 200

      Marina Del Rey, CA 90292

   

  	 	Re:	Administrative Support Agreement


   

  Ladies
      and Gentlemen:

   

  This
      letter agreement by and between Arrowroot Acquisition Corp. (the “Company”) and Arrowroot Acquisition, LLC (“Sponsor”),
      dated as of the date hereof, will confirm our agreement that, commencing on the date the securities of the Company are first listed
      on The Nasdaq Capital Market (the “Listing Date”), pursuant to a Registration Statement on Form S-1 and prospectus
      filed with the U.S. Securities and Exchange Commission (the “Registration Statement”) and continuing until the earlier
      of the consummation by the Company of an initial business combination or the Company’s liquidation (in each case as described
      in the Registration Statement) (such earlier date hereinafter referred to as the “Termination Date”):

   

  (i)
      Sponsor shall make available, or cause to be made available, to the Company, at 4553 Glencoe Ave, Suite 200, Marina Del Rey, CA
      90292 (or any successor location of Sponsor), certain office space and secretarial and administrative services as may be reasonably
      required by the Company. In exchange therefor, the Company shall pay Sponsor the sum of $20,000 per month on the Listing Date
      and continuing monthly thereafter until the Termination Date; and

   

  (ii)
      Sponsor hereby irrevocably waives any and all right, title, interest, causes of action and claims of any kind as a result of,
      or arising out of, this letter agreement (each, a “Claim”) in or to, and any and all right to seek payment of any
      amounts due to it out of, the trust account established for the benefit of the public stockholders of the Company and into which
      substantially all of the proceeds of the Company’s initial public offering will be deposited (the “Trust Account”)
      as a result of, or arising out of, this letter agreement, and hereby irrevocably waives any Claim it may have in the future, which
      Claim would reduce, encumber or otherwise adversely affect the Trust Account or any monies or other assets in the Trust Account,
      and further agrees not to seek recourse, reimbursement, payment or satisfaction of any Claim against the Trust Account or any
      monies or other assets in the Trust Account for any reason whatsoever.

   

  This
      letter agreement constitutes the entire agreement and understanding of the parties hereto in respect of its subject matter and
      supersedes all prior understandings, agreements, or representations by or among the parties hereto, written or oral, to the extent
      they relate in any way to the subject matter hereof or the transactions contemplated hereby.

   

  This
      letter agreement may not be amended, modified or waived as to any particular provision, except by a written instrument executed
      by the parties hereto.

   

  No
      party hereto may assign either this letter agreement or any of its rights, interests, or obligations hereunder without the prior
      written approval of the other party. Any purported assignment in violation of this paragraph shall be void and ineffectual and
      shall not operate to transfer or assign any interest or title to the purported assignee.

   

  This
      letter agreement constitutes the entire relationship of the parties hereto, and any litigation between the parties (whether grounded
      in contract, tort, statute, law or equity) shall be governed by, construed in accordance with, and interpreted pursuant to the
      laws of the State of New York, without giving effect to its choice of law principles.

   

   

  
     

    
      

    

  

   

   

  [Signature
        page follows]

   

   

  
     

    
      

    

  

   

  	 	Very truly yours,
	 	 
	 	ARROWROOT ACQUISITION CORP.
	 	 	 
	 	By:	 /s/ Matthew Safaii
	 	 	Name:  	Matthew Safaii
	 	 	Title:	Chief Executive Officer


  AGREED
      TO AND ACCEPTED BY:

   

  ARROWROOT
      ACQUISITION, LLC

   

  	By:	 /s/ Matthew Safaii	 
	 	Name: Matthew Safaii	 
	 	Title:   Principal	 


   

  [Signature
        Page to Administrative Services Agreement]