Simplify $\sqrt{y^3}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $\frac{1}{2}$

Applicare la formula: $x\cdot x^n$$=x^{\left(n+1\right)}$, dove $x^nx=y\sqrt{y^{3}}$, $x=y$, $x^n=\sqrt{y^{3}}$ e $n=\frac{3}{2}$

Simplify $\sqrt{\sqrt{y^{5}}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{5}{2}$ and $n$ equals $\frac{1}{2}$

Applicare la formula: $\frac{a}{b}\frac{c}{f}$$=\frac{ac}{bf}$, dove $a=5$, $b=2$, $c=1$, $a/b=\frac{5}{2}$, $f=2$, $c/f=\frac{1}{2}$ e $a/bc/f=\frac{5}{2}\cdot \frac{1}{2}$