Simplify: ${(\frac{16}{81})}^{\frac{3}{4}}$

\frac{9}{2}

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\frac{2}{9}

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\frac{8}{27}

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\frac{27}{8}

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Solution

The correct option is C $\frac{8}{27}$
${(\frac{16}{18})}^{\frac{3}{4}} = {[{(\frac{2}{3})}^{4}]}^{\frac{3}{4}} = \frac{8}{27}$

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Similar questions

{l o g}_{27} 9 + {l o g}_{8} 4

Simplify: $\frac{8 x^{3} - 27 y^{3}}{4 x^{2} - 9 y^{2}}$

1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, 32

2, 4, 8, 3, 9, 27, 4, 16, ?

\frac{12^{4} \times 9^{3} \times 4}{27 \times 8^{2}}

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