Question

State True or False. ($\sqrt[4]{4(x{)}^{-12}}$)${}^{2/3}$ is equal to $\frac{1}{x}$

• A. True
• B. False

Answer 1

The correct option is B False

We have,

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

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

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

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

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

Hence, this is the answer.