Question

Simplify:

$\frac{\sqrt[4]{43888}}{\sqrt[4]{448}}$

Answer 1

As given $\Rightarrow \frac{\sqrt[4]{43888}}{\sqrt[4]{448}}$
$\Rightarrow \frac{{\left(3888\right)}^{\frac{1}{4}}}{{\left(48\right)}^{\frac{1}{4}}}$
$\Rightarrow {\left(\frac{3888}{48}\right)}^{\frac{1}{4}}$
$\Rightarrow {\left(81\right)}^{\frac{1}{4}}$
$\Rightarrow {\left(3^4\right)}^{\frac{1}{4}}$
$\Rightarrow 3^{4\cdot \frac{1}{4}}\Rightarrow 3$