Answer
$-36$
Work Step by Step
The given expression, $
(-6i)^2
,$ is equivalent to
\begin{align*}
&
(-6)^2(i)^2
\\&=
36i^2
\\&=
36(-1)
&\text{ (use $i^2=-1$)}
\\&=
-36
.\end{align*}
Hence, the simplified form of the given expression is $
-36
$.
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 4 - Quadratic Functions and Equations - 4-8 Complex Numbers - Practice and Problem-Solving Exercises - Page 253: 25
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