Evaluate ( fourth root of 16)^3

${(\sqrt[4]{16})}^{3}$

Step 1

Rewrite $16$ as $2^{4}$ .

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

Step 2

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

$2^{3}$

Step 3

Raise $2$ to the power of $3$ .

$8$

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