Question

The value of ∜(81)^-2( read as 4th root of (81 raise to-2))

Answer 1

Value = 1/9

Step-by-step explanation:

Given :

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

To find :

The value of above expression.

Solution :

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

${ ({ ({3}^{4} )}^{ \frac{1}{4} } )}^{ - 2}$

${3}^{4 \times \frac{1}{4} \times - 2}$

${3}^{ - 2} = \frac{1}{ {3}^{2} } = \frac{1}{9}$

Hence, the answer = 1/9