Powers of Complex Numbers (DeMoivre's Theorem)

17. Graphing Complex Numbers / Powers of Complex Numbers (DeMoivre's Theorem) / Problem 3

Problem 3

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.
[4(cos 10° + i sin 10°)]⁶

4096√3 + 4096i

2048√3 + 2048i

4096 + 4096√3i

2048 + 2048√3i

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.[4(cos 10° + i sin 10°)]6