Answer
$-81$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
(3i)(27i)
,$ multiply the numerical coefficients and multiply the $i$'s as if it were a literal coefficient. Then use $i^2=-1$.
$\bf{\text{Solution Details:}}$
Multiplying the numerical coefficients and the $i$'s result to
\begin{array}{l}\require{cancel}
81i^{1+1}
\\\\=
81i^{2}
.\end{array}
Since $i^2=-1,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
81(-1)
\\\\=
-81
.\end{array}
