Powers of Complex Numbers (DeMoivre's Theorem)

17. Graphing Complex Numbers / Powers of Complex Numbers (DeMoivre's Theorem) / Problem 4

Problem 4

Find [5(cos 75° + i sin 75°)]⁴ using DeMoivre's Theorem. Express the answer in rectangular form.

- (625√3)/2 + 625i/2

(625√2)/2 - 625i

625 + (625i√2)/2

625/2 - (625i√3)/2