Answer
$-5a^{11}b$
Work Step by Step
Start with given expression: $\frac{25a^{13}b^{4}}{-5a^{2}b^{3}}$
Separate fractions with like terms: $\frac{25}{-5}\times\frac{a^{13}}{a^{2}}\times\frac{b^{4}}{b^{3}}$
Divide and use quotient rule on fractions: $-5a^{11}b$