Find the value of $(3^{- 2})^{2}$ .

\frac{1}{81}

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\frac{1}{18}

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-81

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Solution

The correct option is A $\frac{1}{81}$
$(3^{- 2})^{2}$
$\Rightarrow (3^{- 4})$ $[U s i n g (a^{m})^{n} = a^{m n}]$
$\Rightarrow \frac{1}{3^{4}}$ $[U s i n g (a^{- m}) = \frac{1}{a^{m}}$
$\Rightarrow \frac{1}{81}$

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