How do you multiply (2x^4)/ (10y^2) * ( 5y^3)/(4x^3)?

1 Answer
Jun 8, 2015

(2x^4)/(10y^2)*(5y^3)/(4x^3)

I simplify "in cross" the two cohefficients:

(2x^4)/(2y^2)*(y^3)/(4x^3) (simplified 10 and 5)

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

Now I multiply the variables together and I order them to work properly:

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

Assuming that x!=0 and y!=0, I can reduce the degree of the variables in this way:

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

That is basically:

(xy)/2