Exhibit 24

                                POWER OF ATTORNEY

        Know all by these presents, that the undersigned hereby constitutes and
appoints Karen Hager and Neena Reddy, signing singly and with full power of
substitution, the undersigned's true and lawful attorney-in-fact to:

        (1)    prepare, execute in the undersigned's name and on the
               undersigned's behalf, and submit to the U.S. Securities and
               Exchange Commission (the "SEC") a Form ID, including amendments
               thereto, and any other documents necessary or appropriate to
               obtain codes and passwords enabling the undersigned to make
               electronic filings with the SEC of reports required by Section
               16(a) of the Securities Exchange Act of 1934, as amended (the
               "Exchange Act"), or any rule or regulation of the SEC;

        (2)    execute for and on behalf of the undersigned, in the
               undersigned's capacity as an officer and/or director of Owl Rock
               Capital Corporation, Owl Rock Capital Corporation II, Owl Rock
               Capital Corporation III, Owl Rock Technology Finance Corp., Owl
               Rock Core Income Corp., Owl Rock Technology Income Corp. and Owl
               Rock Technology Finance Corp. II (collectively, the
               "Companies"), Forms 3, 4, and 5 in accordance with Section 16(a)
               of the Exchange Act and the rules thereunder, and any other
               forms or reports the undersigned may be required to file in
               connection with the undersigned's ownership, acquisition, or
               disposition of securities of any of the Companies;

        (3)    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, any amendment or amendments
               thereto, or any other form or report, and timely file such form
               or report with the SEC and any stock exchange or similar
               authority; and

        (4)    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 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 attorney-in-fact, in
serving in such capacity at the request of the undersigned, is not assuming,
nor are the Companies 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 any of the
Companies, unless earlier revoked by the undersigned in a signed writing
delivered to the foregoing attorney-in-fact.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 2nd day of August, 2022.

                                          /s/ Craig Packer
                                          -------------------------------
                                          Craig Packer