Evaluate (-1331)^(2/3)

${(- 1331)}^{\frac{2}{3}}$

Step 1

Simplify the expression.

Rewrite $- 1331$ as ${(- 11)}^{3}$ .

${({(- 11)}^{3})}^{\frac{2}{3}}$

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

${(- 11)}^{3 (\frac{2}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

${(- 11)}^{3 (\frac{2}{3})}$

Rewrite the expression.

${(- 11)}^{2}$

Step 3

Raise $- 11$ to the power of $2$ .

$121$