Answer
$\dfrac{7b^2}{17a}$
Work Step by Step
Cancelling the common factor in the numerator and the denominator, the given expression, $
\dfrac{7a^2b^3}{17a^3b}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{a^2b}\cdot7b^2}{\cancel{a^2b}\cdot17a}
\\\\=
\dfrac{7b^2}{17a}
.\end{array}