Question

Z=-1/2+√3/2I , Prove That Z^3=1

Answer 1

Answer:

z= -1/2 + √3/2 I

z^3 = -1/8 + 3√3 i^3/8 + 3√3/8 i - 9/8 i^2

= -1/8 - 3√3/8 i+ 3√3/8 i + 9/8

= 8/8 = 1