Use DeMoivre's Theorem to find the indicated power of the following complex number.
$$( 3 + 3 \sqrt { 3 } i ) ^ { 6 }$$
A) 19,683
B) 6,561
C) 2,187
D) 46,656
E) 243

Name: Use DeMoivre's Theorem to find the indicated power of the following complex number. \[( 3 + 3 \sqrt { 3 } i ) ^ { 6 }\] A) 19,683 B) 6,561 C) 2,187 D) 46,656 E) 243
Brand: Quizplus
Rating: 4.8 (41 reviews)

Question

Quizplus · Accepted Answer

Convert the complex number to polar form, apply DeMoivre's Theorem, and simplify to find the magnitude and angle, resulting in 46,656.

Use DeMoivre's Theorem to Find the Indicated Power of the Following