Simplify $\sqrt{x^5}$ 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 $\sqrt{x^3}$ 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 $\frac{1}{2}$

Wenden Sie die Formel an: $x\cdot x^n$$=x^{\left(n+1\right)}$, wobei $x^nx=7x\sqrt{x^{3}}$, $x^n=\sqrt{x^{3}}$ und $n=\frac{3}{2}$