Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.

Question

(-2+2i√3)^{3 ????????????????????????????????????????????????????????????????}

Answer 1

z³ = ||z||³ (cos θ + i sin θ)³

z³ = 64 (cos 2π/3 + i sin 2π/3)³

z³ = 64 (cos 2π + i sin 2π)

z³ = 64 (1 + 0)

z³ = 64