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Popular >

simplify (9^{-2})/(3^{-2)}

Solution

simplify

\frac{9 ^{- 2}}{3 ^{- 2}}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

\frac{9 ^{- 2}}{3 ^{- 2}}

Factor

9^{- 2} : 3^{- 4}

= \frac{3 ^{- 4}}{3 ^{- 2}}

Apply exponent rule:

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

= \frac{1}{3 ^{- 2 - (- 4)}}

- 2 - (- 4) = 2

= \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

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