Evaluate (-216)^(1/3)

${(- 216)}^{\frac{1}{3}}$

Step 1

Simplify the expression.

Rewrite $- 216$ as ${(- 6)}^{3}$ .

${({(- 6)}^{3})}^{\frac{1}{3}}$

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

${(- 6)}^{3 (\frac{1}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

${(- 6)}^{3 (\frac{1}{3})}$

Rewrite the expression.

${(- 6)}^{1}$

Step 3

Evaluate the exponent.

$- 6$