simplify.\n(-216)^{\frac{1}{3}}

Explanation:

Step1: Recall cube - root definition

The expression $(-216)^{\frac{1}{3}}$ is the cube - root of $-216$. We need to find a number $x$ such that $x^3=-216$.

Step2: Factorize 216

We know that $216 = 6\times6\times6=6^3$. And since $(-6)\times(-6)\times(-6)=-216$.

Answer:

$-6$