Question
Simplify the following and express in the form $a+i b$ : $\left(2 i^3\right)^2$

Answer

$
\begin{aligned}
& \left.2 i^3\right)^2 \\
= & 4 i^6 \\
= & 4\left(i^2\right)^3 \\
= & 4(-1)^3 \ldots \ldots\left[\because i^2=-1\right] \\
= & -4 \\
= & -4+0 i
\end{aligned}
$

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