Answer
$6.0\times10^{-5}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{0.0003\times0.0024}{0.0006\times20}
\\\\&=
\dfrac{3.0\times10^{-4}\times2.4\times10^{-3}}{6.0\times10^{-4}\times20}
\\\\&=
(3.0\times2.4\div6\div20)(10^{-4}\times10^{-3}\div10^{-4})
\\\\&=
0.06\times10^{-4+(-3)-(-4)}
\\\\&=
0.06\times10^{-3}
\\\\&=
6.0\times10^{-5}
.\end{align*}
