From Joseph Story's Commentaries on the Constitution -- A Reminder Concerning Powers Reserved To the States

“§ 626. The truth is, that the states can exercise no powers whatsoever, which exclusively spring out of the existence of the national government, which the constitution does not delegate to them. They have just as much right, and no more, to prescribe new qualifications for a representative, as they have for a president. Each is an officer of the Union, deriving his powers and qualifications from the constitution, and neither created by, dependent upon, nor controllable by, the states. It is no original prerogative of state power to appoint a representative, a senator, or president for the Union. Those officers owe their existence and functions to the united voice of the whole, not of a portion, of the people. Before a state can assert the right, it must show, that the constitution has delegated and recognised it. No state can say, that it has reserved, what it never possessed.”