Evaluate (-8)^(4/3)

${(- 8)}^{\frac{4}{3}}$

Step 1

Simplify the expression.

Rewrite $- 8$ as ${(- 2)}^{3}$ .

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

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

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

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

$16$