Simplify $\sqrt[3]{\left(1+2x\right)^2}$ 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 $\frac{1}{3}$

Applicare la formula: $\frac{a}{b}c$$=\frac{ca}{b}$, dove $a=1$, $b=3$, $c=2$, $a/b=\frac{1}{3}$ e $ca/b=2\cdot \left(\frac{1}{3}\right)$