Answer
$-432x^{5}$
Work Step by Step
Using the laws of exponents, the given expression, $
(-3x)^3(-4x)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
\left((-3)^{1(3)}x^{1(3)}\right)\left((-4)^{1(2)}x^{1(2)}\right)
\\\\=
\left((-3)^{3}x^{3}\right)\left((-4)^{2}x^{2}\right)
\\\\=
\left(-27x^{3}\right)\left(16x^{2}\right)
\\\\=
(-27)(16)x^{3+2}
\\\\=
-432x^{5}
.\end{array}
