Exhibit 24

                              SPECIAL POWER OF ATTORNEY

      Know all by these presents, that the undersigned hereby constitutes and
appoints each of Will T. Jordan and David C. Treadwell, singly, 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 Roan Resources, Inc. (the
            "Company"), Form ID - Uniform Application for Access Codes to file
            on Edgar, Forms 3, 4 and 5 and any other forms required to be filed
            in accordance with Section 16(a) of the Securities Exchange Act of
            1934 and the rules thereunder (a "Form"); 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,

      2.    Complete and execute any amendment or amendments thereto, and timely
            file such form with the United States Securities and Exchange
            Commission 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, are not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to comply
with Section 16 of the Securities Exchange Act of 1934.

      This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file any Forms pursuant to Section 16(a) of
the Securities Exchange Act of 1934 and the rules thereunder, 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.

                                Signature Page Follows


      IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 17th day of October, 2018.


                                        /s/ Joel L. Pettit
                                        ----------------------------------------
                                        Joel L. Pettit



                                    ACKNOWLEDGMENT

STATE OF OKLAHOMA   )
                    )
COUNTY OF OKLAHOMA  )

      This instrument was acknowledged before me on this 13th day of October,
2018 by Joel L. Pettit.


                                        /s/ Rachel Hawkins
                                        ----------------------------------------
                                        Notary Public, State of Oklahoma


My commission expires:   09/13/2021
                       ----------------
My commission # 13008475