Question

Solve:

$(\sqrt[4]{4(x{)}^{-12}}{)}^{2/3}$

Answer 1

We have,

${\left(\sqrt[4]{4{\left(x\right)}^{-12}}\right)}^{2/3}$

$\Rightarrow {\left({\left(x\right)}^{-12/4}\right)}^{2/3}$

$\Rightarrow {\left({\left(x\right)}^{-3}\right)}^{2/3}$

$\Rightarrow {\left(x\right)}^{-3\times 2/3}$

$\Rightarrow {\left(x\right)}^{-2}$

$\Rightarrow \frac{1}{x^2}$

Hence, this is the answer.