Answer
$= \frac{27n^{2}}{28}$
Work Step by Step
We first multiply the numerators and the denominators of the fractions by each other. Then, we simplify the fractions to obtain:
$(\frac{6n}{7})(\frac{9n}{8})$
$= \frac{6n(9n)}{7(8)}$
$= \frac{54n^{2}}{56}$
$= \frac{27n^{2}}{28}$