Question

Simplify each of the following:
$\frac{{11}^{\frac{1}{2}}}{{11}^{\frac{1}{4}}}$

Answer 1

We have, $\frac{{11}^{\frac{1}{2}}}{{11}^{\frac{1}{4}}}$
By using, $\frac{a^m}{a^n}=a^{m-n}$ if $m>n$, we get
$\frac{{11}^{\frac{1}{2}}}{{11}^{\frac{1}{4}}}={11}^{\frac{1}{2}-\frac{1}{4}}={11}^{\frac{2-1}{4}}={11}^{\frac{1}{4}}$