Answer:
[tex]\sqrt{y^5}[/tex]
Step-by-step explanation:
The expresion [tex]y^{\frac{1}{b}}[/tex] as radical is [tex]\sqrt[b]{y}[/tex]. Therefore, a expresion of the form [tex]y^{\frac{b}{a}}[/tex] can be rewritten as
[tex]y^{\frac{a}{b}}=\smash[b]{ \underbrace{\sqrt[b]{y} \cdots \sqrt[b]{y}\,}_\text{a-times}}=\sqrt[b]{y^{a}} \\[/tex]
Consequently,
[tex]y^{\frac{5}{2}}=\sqrt[2]{y^5}[/tex]
