Answer
$\dfrac{1}{1,000}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{10^{-1}}{10^{2}}
,$ is equivalent to
\begin{array}{l}\require{cancel}
10^{-1-2}
\\\\=
10^{-3}
\\\\=
\dfrac{1}{10^3}
\\\\=
\dfrac{1}{1,000}
.\end{array}