Simplify $\sqrt[4]{(81)^{- 2}}$ .

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Solution

$\sqrt[4]{(81)^{- 2}} = 81^{(\frac{- 2}{4})} = 81^{(\frac{- 1}{2})} = (3^{4})^{(\frac{- 1}{2})} = 3^{- 2} = (\frac{1}{9})$

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