## Algebra 1

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.