Solve y^2=left(sin(x)right)^left(x^2right)^2

$${ y }^{ 2 } = { \left( \sin ( x ) \right) }^{ { \left( { x }^{ 2 } \right) }^{ 2 } }$$

Solve for y (complex solution)

$$y=-\left(\sin(x)\right)^{\frac{x^{4}}{2}}$$

$$y=\left(\sin(x)\right)^{\frac{x^{4}}{2}}$$

Solve for y

$$y=\sqrt{\left(\sin(x)\right)^{x^{4}}}$$

$$y=-\sqrt{\left(\sin(x)\right)^{x^{4}}}\text{, }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\left(x>2\pi n_{2}\text{ and }x<\pi \left(2n_{2}+1\right)\right)\text{ and }\left(\sin(x)\right)^{x^{4}}\geq 0\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\left(x>2\pi n_{2}\text{ and }x<\pi \left(2n_{2}+1\right)\right)\text{ and }\exists n_{4}\in \mathrm{Z}\text{ : }\left(x>\pi \left(2n_{4}+1\right)\text{ and }x<2\pi \left(n_{4}+1\right)\right)\text{ and }Denominator(x^{4})\text{bmod}2\neq 1\right)\text{ or }\left(\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }x\neq 0\text{ and }\left(\sin(x)\right)^{x^{4}}\geq 0\right)\text{ or }\left(Denominator(x^{4})\text{bmod}2\neq 1\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }\exists n_{4}\in \mathrm{Z}\text{ : }\left(x>\pi \left(2n_{4}+1\right)\text{ and }x<2\pi \left(n_{4}+1\right)\right)\right)\text{ or }\left(\exists n_{3}\in \mathrm{Z}\text{ : }\left(x>\pi \left(2n_{3}-1\right)\text{ and }x<2\pi n_{3}\right)\text{ and }Denominator(x^{4})\text{bmod}2=1\text{ and }\left(\sin(x)\right)^{x^{4}}\geq 0\right)$$