Answer
$1.1\times10^{7}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{66,000\times0.001}{0.002\times0.003}
\\\\&=
\dfrac{6.6\times10^{4}\times1.0\times10^{-3}}{2.0\times10^{-3}\times3.0\times10^{-3}}
\\\\&=
(6.6\times1.0\div2.0\div3.0)(10^{4}\times10^{-3}\div10^{-3}\div10^{-3})
\\\\&=
1.1\times10^{4+(-3)-(-3)-(-3)}
\\\\&=
1.1\times10^{7}
.\end{align*}
