Answer
$1.0\times10^{1}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{6000\times0.006}{0.009\times400}
\\\\&=
\dfrac{6.0\times10^{3}\times6.0\times10^{-3}}{9.0\times10^{-3}\times4.0\times10^2}
\\\\&=
(6.0\times6.0\div9.0\div4.0)(10^{3}\times10^{-3}\div10^{-3}\div10^{2})
\\\\&=
1.0\times10^{3+(-3)-(-3)-2)}
\\\\&=
1.0\times10^{1}
.\end{align*}
