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Popular >

simplify (-1/3)^{-2}

Solution

simplify

(- \frac{1}{3})^{- 2}

Solution

9

Solution steps

(- \frac{1}{3})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(- \frac{1}{3})^{- 2} = \frac{1}{( - \frac{1}{3} ) ^{2}}

= \frac{1}{( - \frac{1}{3} ) ^{2}}

(- \frac{1}{3})^{2} = \frac{1}{9}

= \frac{1}{\frac{1}{9}}

\frac{1}{\frac{1}{9}} = 9

= 9

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Frequently Asked Questions (FAQ)

What is (-1/3)^{-2} ?
The solution to (-1/3)^{-2} is 9