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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. (1/9)^(- 1) =

Explanation:

Step1: Apply negative - exponent rule

For any non - zero number $a$, $a^{-n}=\frac{1}{a^{n}}$. When $n = 1$ and $a=\frac{1}{9}$, we have $(\frac{1}{9})^{-1}=\frac{1}{\frac{1}{9}}$.

Step2: Simplify the fraction

$\frac{1}{\frac{1}{9}}=9$.

Answer:

$9$