Power of Attorney

      Know all by these presents, that the undersigned hereby constitutes and
appoints each of Noel Donnelly and Kyle Breidenstine, signing singly, and with
full power of substitution, as the undersigned's true and lawful
attorney-in-fact to: (1) execute for and on behalf of the undersigned, in the
undersigned's capacity as an officer and/or director of PepGen Inc., a Delaware
corporation (the ?Company?), from time to time the following Securities and
Exchange Commission (the ?SEC?) forms: Forms 3, 4, and 5 in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the ?Exchange
Act?), and the rules thereunder; (2) do and perform any and all acts for and on
behalf of the undersigned which may be necessary or desirable to complete and
execute any such Form 3, 4, or 5, complete and execute any amendment or
amendments thereto, and timely file such form with the SEC and any stock
exchange or similar authority; and (3) take any other action of any type
whatsoever in connection with the foregoing which, in the opinion of such
attorney-in-fact, may be of benefit to, in the best interest of, or legally
required by, the undersigned, it being understood that the documents executed
by such attorney-in-fact on behalf of the undersigned pursuant to this Power of
Attorney shall be in such form and shall contain such terms and conditions as
such attorney-in-fact may approve in such attorney-in-fact's discretion. The
undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary, or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might
or could do if personally present, with full power of substitution or
revocation, hereby ratifying and confirming all that such attorney-in-fact, or
such attorney-in-fact's substitute or substitutes, shall lawfully do or cause
to be done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, is not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to
comply with Section 16 of the Exchange Act. This Power of Attorney shall remain
in full force and effect until the undersigned is no longer required to file
Forms 3, 4, and 5 with respect to the undersigned's holdings of and
transactions in securities issued by the Company, unless earlier revoked by the
undersigned in a signed writing delivered to the foregoing attorneys-in-fact.
This Power of Attorney shall expire as to any individual attorney-in-fact if
such attorney-in-fact ceases to be an officer of the Company. This Power of
Attorney may be filed with the SEC as a confirming statement of the authority
granted herein. IN WITNESS WHEREOF, the undersigned has caused this Power of
Attorney to be executed as of November 10, 2023. /s/ Howard Mayer Mayer Printed
Name: Howard Mayer