Question

State TRUE or FALSE

$(\frac{3^{-4}}{2^{-8}}{)}^{\frac{1}{4}}$, then answer is $\frac{4}{3}$

• A. True
• B. False

Answer 1

The correct option is A True

As given $(\frac{3^{-4}}{2^{-8}}{)}^{\frac{1}{4}}$
$\Rightarrow \left(\frac{3^{-4\cdot \frac{1}{4}}}{2^{-8\cdot \frac{1}{4}}}\right)$
$\Rightarrow \left(\frac{3^{-1}}{2^{-2}}\right)$
$\Rightarrow \frac{2^2}{3}$
$\Rightarrow \frac{4}{3}$