POWER OF ATTORNEY
                         FOR EXECUTING FORMS 3, 4 AND 5

        Know all by these presents, that the undersigned hereby constitutes and
appoints each of A. Verona Dorch, Scott A. Jarboe and Priscilla Duncan, signing
singly, his true and lawful attorney-in-fact to:

        (1)     execute for and on behalf of the undersigned Forms 3, 4 and 5
with respect to Peabody Energy Corporation in accordance with Section 16(a) of
the Securities Exchange Act of 1934 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 the execution of any
such Form 3, 4 or 5 with respect to Peabody Energy Corporation and the timely
filing of such form with the United States Securities and Exchange Commission
and any other 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
his or her discretion.

        The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform all and every act and thing whatsoever
requisite, necessary and proper to be done in the exercise of any of the rights
and powers herein granted, as fully to all intents and purposes as such
attorney-in-fact 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 his or her 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 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 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 22nd day of January, 2016.

                                        /s/ Glenn L. Kellow
                                        ----------------------------------------
                                        Glenn L. Kellow