Answer
$\frac{12a^{9}b^{8}}{5}$
Work Step by Step
We are given the expression $\frac{24a^{10}b^{11}}{10ab^{3}}$.
We can simplify this expression by using the quotient rule, which holds that $\frac{a^{m}}{a^{n}}=a^{m-n}$ (where a is a nonzero real number, and m and n are integers).
$\frac{24a^{10}b^{11}}{10ab^{3}}=(\frac{24}{10})\times(a^{10-1})\times(b^{11-3})=\frac{12a^{9}b^{8}}{5}$