Powers of Complex Numbers (DeMoivre's Theorem)

17. Graphing Complex Numbers / Powers of Complex Numbers (DeMoivre's Theorem) / Problem 1

Problem 1

Find [3(cos 27° + i sin 27°)]⁵ using DeMoivre's Theorem. Express the answer in rectangular form.

- 243/2 + (243i√3)/2

- (243√2)/2 + (243i√2)/2

(243√3)/2 + (243i)/2

- (243√3)/2 - (243i)/2