Value of sqrt[4]{(81)^{-2}} is | vedclass

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Question

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

Vedclass · Accepted Answer

$\frac{1}{9}$

Vedclass · Answer

$\sqrt[4]{(81)^{-2}}=\sqrt[4]{\left(\frac{1}{81}ight)^{2}}=\sqrt[4]{\left\{\left(\frac{1}{9}ight)^{2}ight\}^{2}}$$=\sqrt[4]{\left(\frac{1}{9}ight)^{4}}=\left(\frac{1}{9}ight)^{4 	imes \frac{1}{4}}=\frac{1}{9}$

Hence, $(d)$ is the correct answer.

Value of $\sqrt[4]{(81)^{-2}}$ is

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