Question

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

Answer 1

Step-by-step explanation:

i think the answer will be

1/9

Answer 2

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

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