Answer
82
Work Step by Step
We simplify using power rules:
$(3i)^{4}+1$
$3^4i^4+1$
$81*i^{4}+1$
$81*(i^{2})^2+1$
We use the fact that $i^2=-1$ (since $i=\sqrt{-1}$):
$81*(-1)^2+1$
$81*1+1$
$82$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 112: 44
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