Question

How do you simplify `(4xy^3)/(x^2y)*y/(8x)`?

Answer 1

Multiply and divide out common factors

Explanation:

`(4xy^3) /(x^2y) xx y/(8x) = (4 x y^4)/(8x^3 y^1)`

The common factors are 4xy Divide both the numerator and the denominator by the the common factors of 4xy

`(4xy^4)/(4xy) = y^3`

`(8 x^3y^1)/(4xy)= 2x^2`

So the simplified version of the fraction is

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