College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 112: 35



Work Step by Step

We simplify using power rules: $i^{23}$ $i^{22+1}$ $i^{22}* i^1$ $(i^{2})^{11}* i$ We know that $i^2=-1$ (since $i=\sqrt{-1}$): $(-1)^{11}i$ $-1*i$ $-i$
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