Simplify $\left(\left(a^3b^4\right)^2\right)^{\frac{1}{3}\cdot \frac{1}{2}}$ 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 $\frac{1}{3}\cdot \frac{1}{2}$

Applicare la formula: $\frac{a}{b}\frac{c}{f}$$=\frac{ac}{bf}$, dove $a=2$, $b=3$, $c=1$, $a/b=\frac{2}{3}$, $f=2$, $c/f=\frac{1}{2}$ e $a/bc/f=\frac{2}{3}\cdot \frac{1}{2}$

Applicare la formula: $\left(ab\right)^n$$=a^nb^n$