Answer
$y^{1/2}$
Work Step by Step
Use the rule $a^m\div a^n=a^{m-n}$ to obtain:
$(y^{5/7})\div(y^{3/14})=y^{5/7 - 3/14}$
Before we subtract the exponents, because they are in fraction form, we need to convert these fractions so their denominators are the same:
The least common denominator for the two fractions is $14$. We need to convert $5/7$ to a fraction with $14$ as its denominator:
$=y^{10/14 - 3/14}$
$=y^{7/14}$
$=y^{1/2}$
