Answer
$\frac{3y^{14}}{4x^{4}}$
Work Step by Step
Start with given expression: $\frac{24x^{3}y^{5}}{32x^{7}y^{-9}}$
Separate fractions with like terms: $\frac{24}{32}\times\frac{x^{3}}{x^{7}}\times\frac{y^{5}}{y^{-9}}$
Divide and use quotient rule on fractions: $\frac{3}{4}x^{-4}y^{14}$
Use negative exponent rule to simplify: $\frac{3y^{14}}{4x^{4}}$
