Question

Divide x to the 1 half power divided by x to the 2 sevenths power.

Answer 1

Remember some basic rules
$\frac{x^m}{x^n}=x^{m-n}$
and
$x^ \frac{m}{n}= \sqrt[n]{x^m}$


so
$\frac{x^\frac{1}{2}}{x^\frac{2}{7}}=x^{\frac{1}{2}-\frac{2}{7}}$
1/2-2/7=
7/14-4/14=
3/14

$x^{\frac{1}{2}-\frac{2}{7}}=x^{\frac{3}{14}}$

$x^ \frac{3}{14}= \sqrt[14]{x^3}$