Question

Solve and find the value of $\frac{{11}^{\frac{1}{2}}}{{11}^{\frac{1}{4}}}$

Answer 1

$\frac{{11}^{\frac{1}{2}}}{{11}^{\frac{1}{4}}}={11}^{\frac{1}{2}}\times {11}^{-\frac{1}{4}}$

$={11}^{\left(\frac{1}{2}-\frac{1}{4}\right)}$

$={11}^{\left(\frac{2-1}{4}\right)}$

$={11}^{\left(\frac{1}{4}\right)}$

$\frac{{11}^{\frac{1}{2}}}{{11}^{\frac{1}{4}}}={11}^{\frac{1}{4}}$