Answer
$82$
Work Step by Step
Use exponent rule $(ab)^n=a^nb^n$ to obtain:
$\begin{align*}
(3i)^4+1&=3^4i^4+1\\
&=81i^4+1\end{align*}$
Use $i^4=1$.
$=81(1)+1$
$=81+1$
$=82$
Hence, the solution in the standard form is $82$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.7 Complex Numbers; Quadratic Equations in the Complex Number System - A.7 Assess Your Understanding - Page A61: 44
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
