Answer
$ -527-336i$
Work Step by Step
Use the given conditions, we have:
$(3+4i)^4=[5(\frac{3}{5}+\frac{4}{5}i)]^4=625(cos53.13^\circ+i\ sin53.13^\circ)^4=625(cos212.5^\circ+i\ sin212.5^\circ)\approx-527-336i$
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: 25
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