Answer
$r^n,n\theta,n\theta$.
Work Step by Step
Use the De Moivre's Theorem, for the given complex number $z$, we have $z^n=r^n[cos(n\theta)+i\ sin(n\theta)]$.
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 - Section 8.3 The Complex Plane; De Moivre's Theorem - 8.3 Assess Your Understanding - Page 614: 8
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