rewrite the following without an exponent. (-9)^{-1}

Explanation:

Step1: Apply negative - exponent rule

According to the rule $a^{-n}=\frac{1}{a^{n}}$, when $a = - 9$ and $n = 1$, we have $(-9)^{-1}=\frac{1}{(-9)^{1}}$.

Step2: Simplify the expression

Since $(-9)^{1}=-9$, then $\frac{1}{(-9)^{1}}=-\frac{1}{9}$.

Answer:

$-\frac{1}{9}$