Simplify $\sqrt[3]{a^2}$ 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 $\sqrt[4]{a^3}$ 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 $\frac{1}{4}$

Wenden Sie die Formel an: $x^mx^n$$=x^{\left(m+n\right)}$, wobei $x=a$, $m=\frac{1}{2}$ und $n=\frac{2}{3}$

Wenden Sie die Formel an: $x^mx^n$$=x^{\left(m+n\right)}$, wobei $x=a$, $m=\frac{7}{6}$ und $n=\frac{3}{4}$