Find the Exact Value (81^(1/4))^4

${(81^{\frac{1}{4}})}^{4}$

Multiply the exponents in ${(81^{\frac{1}{4}})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$81^{\frac{1}{4} \cdot 4}$

Cancel the common factor of $4$ .

Cancel the common factor.

$81^{\frac{1}{4} \cdot 4}$

Rewrite the expression.

$81^{1}$

Evaluate the exponent.

$81$