Find the Exact Value (-64)^(2/3)

${(- 64)}^{\frac{2}{3}}$

Step 1

Simplify the expression.

Rewrite $- 64$ as ${(- 4)}^{3}$ .

${({(- 4)}^{3})}^{\frac{2}{3}}$

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

${(- 4)}^{3 (\frac{2}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

${(- 4)}^{3 (\frac{2}{3})}$

Rewrite the expression.

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

Step 3

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

$16$