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Popular >

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

Solution

simplify

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

Solution

\frac{1}{3}

+1

Solution steps

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

Factor

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

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

Apply exponent rule:

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

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

- 3 - (- 4) = 1

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

Apply exponent rule:

a^{1} = a

3^{1} = 3

= \frac{1}{3}

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Frequently Asked Questions (FAQ)

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