Question

Multiply and simplify. 5x^2 / y^3 * 4y^2 / 10x

Answer 1

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