# Relation between motivic cohomology and Quillen K-theory

What's the relation between Voevodsky's motivic cohomology and Quillen K-theory of a scheme?

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I found that for a smooth quasi-projective variety $k$: $CH^q(X,p)_\mathbf{Q} = K_p(X)^{(q)}_\mathbf{Q}$, where $CH^q(X,p) = H^{2q-p,q}(X)$ are Bloch's higher Chow groups.