Question

evaluate (-1/27)^-2/3

Answer 1

Given,

• $(-1/27)^{-2/3}$ is given.

To find,

• We have to evaluate the given expression.

Solution,

$(-1/27)^{-2/3}$ can be evaluated as 9.

We can simply evaluate the given expression by using the laws of exponents.

   27 can be written as 3*3*3 i.e. (3)³

                     = $(-1/27)^{-2/3}$

                     = $((-1/3)^3)^{-2/3}$

                     = $(-1/3)^{-2}$      [$((a^m)^n) = (a)^{mn}$]

                     = $(-3)^2$           [$a^{-m} = 1/a^m$]

                     = $9$

Hence, $(-1/27)^{-2/3}$ can be evaluated as 9.

Answer 2

This is my answer

HOPE IT IS HELPFUL FOR YOU

THANK YOU