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 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set: 92

Answer

$1$

Work Step by Step

Using $i^2=-1$ and the laws of exponents, the given expression, $ (-i)^{4} ,$ is equivalent to \begin{array}{l}\require{cancel} i^4 \\\\= \left( i^2 \right)^{2} \\\\= \left( -1 \right)^{2} \\\\= 1 \end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.