Complex Numbers Problem Solving 1

Algebra Level 2

If x=cosπ3+isinπ3,y=cos53π+isin53π,x=\cos \frac{\pi}{3}+i\sin \frac{\pi}{3}, y=\cos \frac{5}{3}\pi+i\sin \frac{5}{3}\pi, what is the value of (x2y+y2x)6?\left(\frac{x^2}{y}+\frac{y^2}{x}\right)^{6}?

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