Question

value of 4√(81)^-2 is​

Answer 1

Answer:

4/81

Step-by-step explanation:

square root and root -2 cancel each other

=4(81)^-1

=4/81

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Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

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

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

$\bf = \sqrt[4] {\left\{{ \bigg( \frac{1}{9} \bigg) ^{2} }\right\} ^{2} }$

$\bf = \sqrt[4]{ \bigg( \frac{1}{9} \bigg) ^{4} }$

$\bf = \bigg( \frac{1}{9} \bigg) ^{4 \times \frac{1}{4} }$

$\bf = \frac{1}{9} \:$

$\bf \underline{Hence \: the \: value \: of \: \sqrt[4]{(81 {)}^{ - 2} } } \: is \: \frac{1}{9} .$