POWER OF ATTORNEY

     With respect to holdings of and transactions in securities issued by PAE
Incorporated (the "Company"), the undersigned hereby constitutes and appoints
Paul W. Cobb, Jr. and Bryant Snee, or any of them signing singly, with full
power of substitution and resubstitution, to act as the undersigned's true and
lawful attorney-in-fact to:

     1.   execute for and on behalf of the undersigned, Schedules 13D and
          13G in accordance with Section 13 of the Securities Exchange Act of
          1934, as amended (the "Exchange Act"), and the rules thereunder, and
          Forms 3, 4, and 5 in accordance with Section 16 of 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 Schedule 13D or 13G or Form 3, 4, or 5, complete and
          execute any amendment or amendments thereto, and timely file such
          schedule or 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 and
resubstitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or such attorneys-in-fact 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, are not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to comply
with Section 13 and 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 Schedule 13D and 13G and 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.

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 12th day of February, 2020.


                                                    /s/ Paul T. Bader
                                                    ----------------------------
                                                    Paul T. Bader