$${ x }^{ 2 } \times { x }^{ 2 } = { \left(2 \sqrt{ 2y } \right) }^{ 2 }$$
$y=\frac{x^{4}}{8}$
$|\frac{arg(x^{4})}{2}-arg(x^{2})|<\pi \text{ or }x=0\text{ or }|\frac{arg(x^{4})}{2}-arg(-x^{2})|<\pi $
$\left\{\begin{matrix}\\y=\frac{x^{4}}{8}\text{, }&\text{unconditionally}\\y=0\text{, }&x=0\end{matrix}\right.$
$x=2^{\frac{3}{4}}\sqrt[4]{y}$
$x=-2^{\frac{3}{4}}\sqrt[4]{y}$
$x=-2^{\frac{3}{4}}i\sqrt[4]{y}$
$x=2^{\frac{3}{4}}i\sqrt[4]{y}$
$\left\{\begin{matrix}x=-2^{\frac{3}{4}}\sqrt[4]{y}\text{; }x=2^{\frac{3}{4}}\sqrt[4]{y}\text{, }&y\geq 0\\x=0\text{, }&y=0\end{matrix}\right.$
