Question

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

Answer 1

remember some basic rules

`(x^m)/(x^n)=x^(m-n)`
and

`x^ (m)/(n)= \sqrt[n]{x^m}`


so

`(x^(1)/(2))/(x^(2)/(7))=x^{(1)/(2)-(2)/(7)}`
1/2-2/7=
7/14-4/14=
3/14


`x^{(1)/(2)-(2)/(7)}=x^{(3)/(14)}`


`x^ (3)/(14)= \sqrt[14]{x^3}`