College Algebra (10th Edition)

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: 44

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 $i=\sqrt{-1}$): $81*(-1)^2+1$ $81*1+1$ $82$
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