Simplify -216^(1/3)

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

Simplify the expression.

Rewrite $216$ as $6^{3}$ .

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

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

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$- 6^{1}$

Multiply.

Evaluate the exponent.

$- 1 \cdot 6$

Multiply $- 1$ by $6$ .

$- 6$