Answer
$81$
Work Step by Step
Using $i^2=-1$ and the laws of exponents, the expression $
(3i)^4
$ simplifies to
\begin{array}{l}
3^4i^4
\\=
81(i^2)^2
\\=
81(-1)^2
\\=
81(1)
\\=
81
.\end{array}
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