simplify \frac{x^{4}\ y^{3}}{x^{5}\ y^{2}}
When we divide two numbers with the same base, we subtract the exponents of the base. Therefore,
\frac{x^{4}\ y^{3}}{x^{5}\ y^{2}} = x^{4-5}\ y^{3-2} = x^{-1}\ y^{1} = \frac{y}{x}.
\frac{x^{4}\ y^{3}}{x^{5}\ y^{2}} = x^{4-5}\ y^{3-2} = x^{-1}\ y^{1} = \frac{y}{x}.