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Find the valu...

Question

Find the value of : ${(- \frac{1}{27})}^{- \frac{2}{3}}$

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Solution

We have,

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

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

$= {(- {(3)}^{- 3})}^{- \frac{2}{3}}$

$= {(- (3))}^{2}$

$= 9$

Hence, the value is $9$ .

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

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