Answer
-2
Work Step by Step
Remember that whenever a fraction is raised to a negative power, we flip the numerator and the denominator of the fraction and make the exponent positive. Thus, we find:
$(-1/8)^{-1/3} = (-8)^{1/3}$
Now, recall the formula:$ a^{b/c}=( \sqrt[c] {a})^{b}$. Thus, we obtain:
$ (-8)^{1/3}=(\sqrt[3] {-8})=-2$