Simplify ( fourth root of 81)^3

${(\sqrt[4]{81})}^{3}$

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

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

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

$3^{3}$

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

$27$

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