Question

rewrite the following without an exponent.
(-9)^{-2}

Explanation:

Step1: Recall the negative exponent rule

The negative exponent rule states that \(a^{-n}=\frac{1}{a^{n}}\) for any non - zero real number \(a\) and positive integer \(n\). For the expression \((-9)^{-2}\), we can apply this rule. So, \((-9)^{-2}=\frac{1}{(-9)^{2}}\).

Step2: Calculate the denominator

We know that \((-9)^{2}=(-9)\times(-9) = 81\). So, \(\frac{1}{(-9)^{2}}=\frac{1}{81}\).

Answer:

\(\frac{1}{81}\)