${\displaystyle \frac{2\cdot x^3\cdot 6\cdot y^{-4}\cdot 10\cdot z^{-6}\cdot x^{-2}\cdot 2\cdot y^8\cdot z^2}{3\cdot y^2\cdot 10\cdot x^{-3}\cdot 4\cdot z^{-4}}}$

$\text{o}\text{r}\text{d}\text{n}\text{e}$

${\displaystyle \frac{2\cdot 2\cdot 6\cdot 10\cdot (x^3\cdot x^{-2})\cdot (y^8\cdot y^{-4})\cdot (z^2\cdot z^{-6})}{3\cdot 4\cdot 10\cdot x^{-3}\cdot y^2\cdot z^{-4}}}$

$\text{k}\text{ü}\text{r}\text{z}\text{e}$

${\displaystyle \frac{\cancel{2}\cdot \cancel{2}\cdot \cancel{6}2\cdot \cancel{10}\cdot (x^3\cdot x^{-2})\cdot (y^8\cdot y^{-4})\cdot (z^2\cdot z^{-6})}{\cancel{3}\cdot \cancel{4}\cdot \cancel{10}\cdot x^{-3}\cdot y^2\cdot z^{-4}}}$

$\text{f}\text{a}\text{s}\text{s}\text{e}\text{z}\text{u}\text{s}\text{a}\text{m}\text{m}\text{e}\text{n}$

${\displaystyle \frac{2\cdot (x^3\cdot x^{-2})\cdot (y^8\cdot y^{-4})\cdot (z^2\cdot z^{-6})}{x^{-3}\cdot y^2\cdot z^{-4}}}$

$\text{v}\text{e}\text{r}\text{e}\text{i}\text{n}\text{f}\text{a}\text{c}\text{h}\text{e}$

$2\cdot x^{(3+3-2)}\cdot y^{(8-4-2)}\cdot z^{(4-4)}$

$\text{Vereinfachter Term:}\Rightarrow 2x^4{y}^2$