Simplify: ${(\frac{27}{125})}^{\frac{2}{3}}$

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Solution

$27 = 3 \times 3 \times 3 = 3^{3}$ ,
$125 = 5^{3}$
$\Rightarrow {(\frac{27}{125})}^{2 / 3}$
$= {[{(\frac{3}{5})}^{3}]}^{2 / 3}$
$= {(\frac{3}{5})}^{2} = \frac{9}{25}$ .

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Similar questions

Simplify: $(125)^{\frac{2}{3}}$ .

Evaluate:- $(\frac{27}{125})^{\frac{2}{3}} \times (\frac{9}{25})^{\frac{- 3}{2}}$

Evaluate $(\frac{27}{125})^{\frac{2}{3}} \times (\frac{9}{25})^{\frac{- 3}{2}}$

{(\frac{27}{125})}^{\frac{2}{3}} \times {(\frac{9}{25})}^{- \frac{3}{2}}

1 \frac{2}{3}

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