What key constitutional provisions define the scope of authority of the federal and state governments?

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What key constitutional provisions define the scope of authority of the federal and state governments?

The following parts of the Constitution sketch the powers of the states and the federal government: Article I, Section 8; the supremacy clause of Article VI; and the Tenth Amendment. The following parts of the Constitution detail the limits on their authority: Article I, Sections 9 and 10; Bill of Rights; Fourteenth Amendment; and the civil rights amendments.