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 - Page 104: 95



Work Step by Step

Eliminate the fraction and the negative exponent. $\frac{1}{i^{-11}}=i^{11}$ Factor out as many $i^4$ as possible. $i^{11}=(i^4)^{2}*i^{3}$ Know that $i^4=1$. Substitute, and simplify. $(i^4)^{2}*i^{3}=1^{2}*i*i*i=1*-1*i=-i$
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