$${ 12 }^{ 2 } x { 18 }^{ 2 } y= { z }^{ 2 }$$
$\left\{\begin{matrix}x=\frac{z^{2}}{46656y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=0\end{matrix}\right.$
$\left\{\begin{matrix}y=\frac{z^{2}}{46656x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.$
