Evaluate (32^(1/5))^5

${(32^{\frac{1}{5}})}^{5}$

Step 1

Multiply the exponents in ${(32^{\frac{1}{5}})}^{5}$ .

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

$32^{\frac{1}{5} \cdot 5}$

Cancel the common factor of $5$ .

Cancel the common factor.

$32^{\frac{1}{5} \cdot 5}$

Rewrite the expression.

$32^{1}$

Step 2

Evaluate the exponent.

$32$