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

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

Wenden Sie die Formel an: $\left(a+b\right)\left(a+c\right)$$=a^2-b^2$, wobei $a=\sqrt{x+1}$, $b=\sqrt{y^{5}}$, $c=-\sqrt{y^{5}}$, $a+c=\sqrt{x+1}-\sqrt{y^{5}}$ und $a+b=\sqrt{x+1}+\sqrt{y^{5}}$

Simplify $\left(\sqrt{y^{5}}\right)^2$ 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 $2$