Answer
$8.0\times10^{-5}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{0.00064\times2000}{16,000}
\\\\&=
\dfrac{6.4\times10^{-4}\times2.0\times10^{3}}{1.6\times10^{4}}
\\\\&=
(6.4\times2.0\div1.6)(10^{-4}\times10^{3}\div10^{4})
\\\\&=
8.0\times10^{-4+3-4}
\\\\&=
8.0\times10^{-5}
.\end{align*}