Pre calculus- De moivre's Theorem

Question

Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form
a + bi.)

((sqrt)3 - i)^6

Answer 1

z = √3 - i

|z| = 2

θ = 5π/6

z⁶ = 2⁶(cos (6)(5π/6) + i sin (6)(5π/6))