Answer
$ 64$
Work Step by Step
Based on the given conditions, we have:
$(1-\sqrt 3i)^6=[2(\frac{1}{2}-\frac{\sqrt 3}{2}i)]^6=2^6(cos\frac{5\pi}{3}+i\ sin\frac{5\pi}{3})^6=64(cos10\pi+i\ sin10\pi)=64$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 655: 24
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