Evaluate (-1024)^(2/5)

${(- 1024)}^{\frac{2}{5}}$

Step 1

Simplify the expression.

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

${({(- 4)}^{5})}^{\frac{2}{5}}$

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

${(- 4)}^{5 (\frac{2}{5})}$

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

${(- 4)}^{5 (\frac{2}{5})}$

Rewrite the expression.

${(- 4)}^{2}$

Step 3

Raise $- 4$ to the power of $2$ .

$16$