Find the value of 4 root (81)^-2

1.	Find the value of 4 root (81)^-2
Answer» The value of expression is $(\sqrt[4]{81})^{-2}=\frac{1}{9}$ Step-by-step EXPLANATION: GIVEN : Expression $(\sqrt[4]{81})^{-2}$ To FIND : The value of the expression ? SOLUTION : Expression $(\sqrt[4]{81})^{-2}$ We can write 81 as $3^4$ , $(\sqrt[4]{81})^{-2}=(\sqrt[4]{3^{4}})^{-2}$ $(\sqrt[4]{81})^{-2}=(3^{\frac{4}{4}})^{-2}$ $(\sqrt[4]{81})^{-2}=(3^{1})^{-2}$ $(\sqrt[4]{81})^{-2}=(3)^{-2}$ $(\sqrt[4]{81})^{-2}=\frac{1}{3^2}$ $(\sqrt[4]{81})^{-2}=\frac{1}{9}$ THEREFORE, the value of expression is $(\sqrt[4]{81})^{-2}=\frac{1}{9}$ #Learn more Find the value of 5 root 4 root a square brainly.in/question/12769106

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