Exhibit 24
                                POWER OF ATTORNEY
          Know all by these presents, that the undersigned hereby constitutes
 and appoints each of Barbara E. Coluci, Heide Mabee, Susan I. Permut, Barbara
 Lefkowitz, Dana Ng and Barbara Smith, signing 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 EMC Corporation (the "Company"),
 Forms 144 in accordance with Rule 144 of the Securities Act of 1933 and Forms
 3, 4 and 5 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 and execute any
 such Form 144, 3, 4 or 5, complete and execute any amendment or amendments
 thereto, and timely file (whether by mail, electronic transmission or other
 acceptable means) 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 Rule 144 of the Securities Act of
 1933 or 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 144, 3, 4 or 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 19th day of August
, 2005.
                                             /s/ Michael W. Brown
                                             -----------------------------------
                                             Signature
                     
                        Michael W. Brown
Witness:
/s/ Kevin Roberts
--------------------------