Elementary Technical Mathematics

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

Chapter 11 - Review - Page 380: 22

Answer

$-j$

Work Step by Step

Since $j=\sqrt{-1}$, $j^2=-1$, and $j^4=1$, we have $$ j^{27}=(j^{4} )^6j^2j=-j$$ where we used the fact that $27=4\times 6+2+1$.
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