Answer
$4y^{3}$
Work Step by Step
$\sqrt [3] (64y^{9})=\sqrt [3] 64 \times\sqrt[3] (y^{9}))=4y^{3}$
We know that $\sqrt [3] 64=4$, because $4^{3}=64$. We also know that $\sqrt[3] (y^{9})=y^{3}$, because $(y^{3})^{3}=y^{3\times3}=y^{9}$
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