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evaluate. write your answer as a fraction or whole number without expon…

Question

evaluate. write your answer as a fraction or whole number without exponents. 9^{-2} = square

Explanation:

Step1: Apply negative - exponent rule

According to the rule $a^{-n}=\frac{1}{a^{n}}$, for $9^{-2}$, we have $9^{-2}=\frac{1}{9^{2}}$.

Step2: Calculate $9^{2}$

$9^{2}=9\times9 = 81$. So $\frac{1}{9^{2}}=\frac{1}{81}$.

Answer:

$\frac{1}{81}$