Aplicamos a regra: $\frac{a^n}{a}$$=a^{\left(n-1\right)}$, onde $a^n/a=\frac{\sqrt{x+y}}{\frac{3}{2}\left(x+y\right)}$, $a^n=\sqrt{x+y}$, $a=x+y$ e $n=\frac{1}{2}$

Aplicamos a regra: $\frac{a}{\frac{b}{c}}$$=\frac{ac}{b}$, onde $a=\left(x+y\right)^{-\frac{1}{2}}$, $b=3$, $c=2$, $a/b/c=\frac{\left(x+y\right)^{-\frac{1}{2}}}{\frac{3}{2}}$ e $b/c=\frac{3}{2}$

Aplicamos a regra: $\frac{x^a}{b}$$=\frac{1}{bx^{-a}}$, onde $a=-\frac{1}{2}$, $b=3$ e $x=x+y$