Answer
$4.0\times10^{-7}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{3.6\times10^{-4}}{9\times10^2}
\\\\&=
(3.6\div9)(10^{-4}\div10^2)
\\\\&=
0.4\times10^{-4-2}
\\\\&=
0.4\times10^{-6}
\\\\&=
4.0\times10^{-7}
.\end{align*}