Section 8:
"To exercise exclusive Legislation in all Cases whatsoever, over such District (not exceeding ten Miles square) as may, by Cession of particular States, and the Acceptance of Congress, become the Seat of the Government of the United States, and to exercise like Authority over all Places purchased by the Consent of the Legislature of the State in which the Same shall be, for the Erection of Forts, Magazines, Arsenals, dock-Yards and other needful Buildings"
Where the congress has exclusive authority over DC. All cases whatsoever is pretty ******* clear.
And the 10th which leaves the governing power to the states and localities which does not lie with the federal government. As congress is the local government for DC as it cannot be a state, those powers reside there.
Unless you are going to argue that no one has the power to govern in DC, which is an asinine proposition considering it is barred from being a state.