Answer
$7.5\times10^{-3}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{0.00016\times300}{0.064\times100}
\\\\&=
\dfrac{1.6\times10^{-4}\times3\times10^{2}}{6.4\times10^{-2}\times1.0\times10^2}
\\\\&=
(1.6\times3.0\div6.4\div1.0)(10^{-4}\times10^{2}\div10^{-2}\div10^{2})
\\\\&=
0.75\times10^{-4+2-(-2)-2}
\\\\&=
0.75\times10^{-2}
\\\\&=
7.5\times10^{-3}
.\end{align*}
