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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. 3^{-2} =

Explanation:

Step1: Apply negative - exponent rule

According to the rule $a^{-n}=\frac{1}{a^{n}}$, for $3^{-2}$, we have $3^{-2}=\frac{1}{3^{2}}$.

Step2: Calculate $3^{2}$

$3^{2}=3\times3 = 9$. So $\frac{1}{3^{2}}=\frac{1}{9}$.

Answer:

$\frac{1}{9}$