Evaluate (-27)^(4/3)

${(- 27)}^{\frac{4}{3}}$

Step 1

Simplify the expression.

Rewrite $- 27$ as ${(- 3)}^{3}$ .

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

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

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

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

${(- 3)}^{4}$

Step 3

Raise $- 3$ to the power of $4$ .

$81$