Evaluate (-3125)^(1/5)

${(- 3125)}^{\frac{1}{5}}$

Step 1

Simplify the expression.

Rewrite $- 3125$ as ${(- 5)}^{5}$ .

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

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

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

${(- 5)}^{1}$

Step 3

Evaluate the exponent.

$- 5$