Which expression is equivalent to 81?

2^{9}

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

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3^{- 4}

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

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Solution

The correct option is B ${(\frac{1}{3})}^{- 4}$
$({\frac{1}{3})}^{- 4} = 3^{4} = 81$

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Similar questions

(9^{\frac{1}{2}}) (81^{\frac{3}{4}})

\frac{x^{3} + x^{2}}{x^{4} + x^{3}}

{(\frac{1}{3})}^{- 4} {(\frac{1}{9})}^{- 3} {(\frac{1}{27})}^{- 2}

3^{4} = 81

6^{- 4} = \frac{1}{1296}

{(\frac{1}{81})}^{\frac{3}{4}} = \frac{1}{27}

{(216)}^{\frac{1}{3}} = 6

{(13)}^{- 1} = \frac{1}{13}

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