Simplify ( cube root of 8)^2

${(\sqrt[3]{8})}^{2}$

Rewrite $8$ as $2^{3}$ .

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

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

$2^{2}$

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

$4$

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