Simplify ( cube root of 64)^2

${(\sqrt[3]{64})}^{2}$

Step 1

Rewrite $64$ as $4^{3}$ .

${\sqrt[3]{4^{3}}}^{2}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$4^{2}$

Step 3

Raise $4$ to the power of $2$ .

$16$

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