The value of ${[{(3^{2})}^{2}]}^{- 1}$ is-

81

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- 81

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- 0.0123

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0.0123

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Solution

The correct option is D $0.0123$
$\frac{1}{{(3^{2})}^{2}}$ $∵ (a^{m})^{n} = a^{m n}$
$= \frac{1}{3^{4}}$
$= \frac{1}{81}$
$= 0.0123$

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