Simplify ( fourth root of 81)^5

${(\sqrt[4]{81})}^{5}$

Step 1

Rewrite $81$ as $3^{4}$ .

${\sqrt[4]{3^{4}}}^{5}$

Step 2

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

$3^{5}$

Step 3

Raise $3$ to the power of $5$ .

$243$

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