Evaluate (15^(1/5))^5

${(15^{\frac{1}{5}})}^{5}$

Step 1

Multiply the exponents in ${(15^{\frac{1}{5}})}^{5}$ .

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

$15^{\frac{1}{5} \cdot 5}$

Cancel the common factor of $5$ .

Cancel the common factor.

$15^{\frac{1}{5} \cdot 5}$

Rewrite the expression.

$15^{1}$

Step 2

Evaluate the exponent.

$15$