Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.4 - Complex Numbers - Problem Set 11.4 - Page 493: 35

Answer

$-56$

Work Step by Step

We start with the given expression: $(7i)(8i)$ We regroup the real and imaginary terms using the associative and commutative properties of multiplication: $(7\times8)(i\times i)$ We multiply the real and imaginary terms: $56i^2$ Since $i^2$ is equal to $-1$, we simplify the expression as follows: $56\times-1=-56$
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