For this case we have the following expression: [tex] \frac{5x^2}{y^3} * \frac{4y^2}{10x} [/tex] Rewriting the expression we have: [tex]\frac{20x^2y^2}{10xy^3} [/tex] Then, simplifying and by properties of exponents we have: [tex]{2x^{2-1}y^{2-3}}
{2xy^{-1}}[/tex] Rewriting we have:: [tex] \frac{2x}{y} [/tex] Answer: The simplified expression is given by: [tex] \frac{2x}{y} [/tex]
