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

Simplify $\sqrt{x^7}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $7$ and $n$ equals $\frac{1}{2}$

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

Wenden Sie die Formel an: $x\cdot x^n$$=x^{\left(n+1\right)}$, wobei $x^nx=\sqrt[6]{x^{25}}z^5z$, $x=z$, $x^n=z^5$ und $n=5$