Answer
$7.7\times10^{7}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{0.0007\times11,000}{0.001\times0.0001}
\\\\&=
\dfrac{7.0\times10^{-4}\times1.1\times10^{4}}{1.0\times10^{-3}\times1.0\times10^{-4}}
\\\\&=
(7.0\times1.1\div1.0\div1.0)(10^{-4}\times10^{4}\div10^{-3}\div10^{-4})
\\\\&=
7.7\times10^{-4+4-(-3)-(-4)}
\\\\&=
7.7\times10^{7}
.\end{align*}
