# How do you simplify \frac { 15x ^ { 4} y ^ { 3} } { 5x ^ { 2} y ^ { 7} }?

$\frac{3 {x}^{2}}{{y}^{4}}$
Find the common denominator in 15 and 5. The common denominator is 5, so the fraction would simplify to $\frac{3}{1}$. When dividing exponents, you use subtraction. ${x}^{4} / {x}^{2}$ is simplified to ${x}^{2} / 1$ and ${y}^{3} / {y}^{7}$ is simplified to $\frac{1}{y} ^ 4$. Multiply everything together to get to the answer.