Answer
$y^{4/5}$
Work Step by Step
Use the rule $a^m\cdot a^n=a^{m+n}$ to obtain:
$(y^{1/2})(y^{3/10})$
$y^{1/2} \cdot y^{3/10}=y^{1/2 + 3/10}$
Before we add 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 $10$. We need to convert $1/2$ to a fraction with $10$ as its denominator:
$=y^{5/10 + 3/10}\\
=y^{8/10}$
$=y^{4/5}$
