Simplify the following and express in the form a + ib: (2 i^3 )^2 - Vidyadip

Question

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

✓

Answer

$\left(2 i^3\right)^2$
$=4 i^6$
$=4\left(i^2\right)^3$
$=4(-1)^3$
$=-4 \ldots . .\left[\because i^2=-1\right]$
$=-4+0 i$

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