Answer
$\dfrac{1}{10^5}$
Work Step by Step
Recall the exponent rules:
$x^ax^b=x^{a+b}$
$(x^a)^b=x^{ab}$
$\dfrac{x^a}{x^b}=x^{a-b}$
We simplify as follows:
$$
\frac{(10^3\times10^{-2})^3}{10^3\times10^5}=\frac{(10^1)^3}{10^8}=\frac{10^3}{10^8}=\frac{1}{10^5}
.$$
