Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.3 - Products and Quotients in Trigonometric Form - 8.3 Problem Set - Page 439: 4

Answer

To find the nth power of a complex number, find the nth power of the $modulus$ and multiply the $argument$ by $n$.

Work Step by Step

To find the nth power of a complex number, find the nth power of the $modulus$ and multiply the $argument$ by $n$. If, $z=rcis\theta$ then, $z^{n}=r^{n}cis(n\theta)$
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