Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises: 50

Answer

$(2i)^{4}=16$

Work Step by Step

$(2i)^{4}=(2i)^{2}\times(2i)^{2}=4i^{2}\times4i^{2}$ $i^{2}=i\times i=\sqrt -1\times\sqrt -1=-1$ hence $4i^{2}\times4i^{2}=4(-1)\times4(-1)=-4\times-4=16$ Hence the answer written in the form $a+bi$ where $a$ is the real part and $b$ is the imaginary part is $16$ because $a=16$ and $b=0$.
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.