Evaluate (-1024)^(1/5)

${(- 1024)}^{\frac{1}{5}}$

Step 1

Simplify the expression.

Rewrite $- 1024$ as ${(- 4)}^{5}$ .

${({(- 4)}^{5})}^{\frac{1}{5}}$

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

${(- 4)}^{5 (\frac{1}{5})}$

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

${(- 4)}^{5 (\frac{1}{5})}$

Rewrite the expression.

${(- 4)}^{1}$

Step 3

Evaluate the exponent.

$- 4$