Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 11 - Section 11.5 - Imaginary Numbers - Exercise - Page 378: 24

Answer

-1

Work Step by Step

Since $j=\sqrt{-1}$, $j^2=-1$, $j^3=-j$, $j^4=1$, then by multiplying both the denominator and numerator by $j^2$, we have $$ \frac{1}{j^6}= \frac{j^2}{j^8}=j^2=-1.$$
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