Answer
$\frac{x^{6}y}{4}$
Work Step by Step
$\frac{4^{-1}{(x^{2}y^{3})}^2}{x^{-2}y^{5}}$
1. Using exponent rules, distribute the 2 to the variables inside the parenthesis:
$\frac{4^{-1}x^{4}y^{6}}{x^{-2}y^{5}}$
2. Move everything with a negative exponent to the other side of the fraction to make the exponent positive:
$\frac{x^{4}x^{2}y^{6}}{4^{1}y^{5}}$
3. Combine like terms and reduce the fraction to get your answer:
$\frac{x^{6}y}{4}$
