College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises: 96

Answer

$1$

Work Step by Step

Eliminate the fraction and the negative exponent. $\frac{1}{i^{12}}=i^{12}$ Factor out as many $i^4$ as possible. $i^{12}=(i^4)^{3}$ Know that $i^4=1$. Substitute, and simplify. $(i^4)^{3}=1^{3}=1$
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