Find: $32^{\frac{1}{5}}$

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Solution

$32^{\frac{1}{5}}$
$= \sqrt[5]{32}$
$= \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2}$
$= \sqrt[5]{(2)^{5}}$
$= 2^{5 \times \frac{1}{5}}$
$2^{1} = 2$

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