How do you simplify (2x)/(y²) * (3y³)/(4x²)?

1 Answer
Jul 25, 2015

Cancel equal terms from the numerator and the denominator.

Explanation:

Your starting expression looks like this

(2x)/(y^2) * (3y^3)/(4x^2)

You know that you can write 3y^3 and 4x^2 as

3y^3 = 3y^2 * y

4x^2 = (2x)^2 = 2x * 2x

Your expression now becomes

cancel(2x)/cancel(y^2) * (3 * cancel(y^2) * y)/(cancel(2x) * 2x) = color(green)((3y)/(2x))