Answer
$-3$
Work Step by Step
Since $27=3^3$, the given expression is equivalent to:.
$(-27)^{\frac{1}{3}}=(-3^3)^{\frac{1}{3}}$
Use the rule $\left(a^m\right)^n=a^{mn}$, then simplify to obtain:
$=\left(-3\right)^{3\cdot\frac{1}{3}}$
$=(-3)^1$
$=-3$
Hence, the correct answer is $-3$.
