Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.1 Composite Functions and Inverse Functions - 12.1 Exercise Set - Page 788: 80



Work Step by Step

$i^{0}=1$ $i^{1}=i$ $i^{2}=-1$ $i^{3}=-i$ $i^{4}=1 ...$ --- $i^{43}=i^{40+3}=$ $=i^{40}\cdot i^{3}$ $=(i^{4})^{10}\cdot i^{3}$ $=1^{10}\cdot(-i)$ $=-i$
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