Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.5 - The Binomial Theorem - 11.5 Exercises - Page 814: 67

Answer

$(1+i)^4=-4$

Work Step by Step

$(1+i)^4=~_4C_0(1)^4+~_4C_1(1)^3(i)^1+~_4C_2(1)^2(i)^2+~_4C_3(1)^1(i)^3+~_4C_4(i)^4=1+4i+6(-1)+4(-i)+1=-4$
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