Answer
$-64$
Work Step by Step
Using $i^2=-1$ and the laws of exponents, the expression $
(2i)^6
$ simplifies to
\begin{array}{l}
2^6i^6
\\=
64(i^2)^3
\\=
64(-1)^3
\\=
64(-1)
\\=-64
.\end{array}
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