Answer
Negative
Work Step by Step
We start with the given expression: $(-2)^{-3}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression:
We rewrite the expression as follows: $\frac{1}{(-2)^{3}}$
We simplify the power in the denominator: $\frac{1}{(-2)(-2)(-2)}=-\frac{1}{8}$
Since the number $-\frac{1}{8}$ is negative, the expression is negative.
