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Popular >

simplify ((1/3)^{-2})/(3^{-4)}

Solution

simplify

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

Solution

729

Solution steps

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

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

= \frac{9}{3 ^{- 4}}

Factor the number:

9 = 3^{2}

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

Apply exponent rule:

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

= 3^{2 - (- 4)}

2 - (- 4) = 6

= 3^{6}

3^{6} = 729

= 729

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Frequently Asked Questions (FAQ)

What is ((1/3)^{-2})/(3^{-4)} ?
The solution to ((1/3)^{-2})/(3^{-4)} is 729