Answer
$2.0\times10^{1}$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\dfrac{18,200\times100}{91,000}
\\\\&=
\dfrac{18,200\times10^2}{91,000}
\\\\&=
\dfrac{1.82\times10^4\times10^2}{9.1\times10^4}
\\\\&=
(1.82\div9.1)(10^4\times10^2\div10^4)
\\\\&=
0.2\times10^{4+2-4}
\\\\&=
0.2\times10^{2}
\\\\&=
2.0\times10^{1}
.\end{align*}