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

1 Answer
Jul 22, 2015

Answer:

#(x^3y/(xy^2)) * (3x^2y)/(8x^3) = (3x)/8#

Explanation:

#(x^3y/(xy^2)) * (3x^2y)/(8x^3)#

#=color(red)((x^3*y)/(x*y*y))* color(blue)((3*x*x*y)/(8*x^3))#

#=color(red)((cancel(x^3)*y)/(x*y*y))* color(blue)((3*x*x*y)/(8*cancel(x^3)))#

#=color(red)((y)/(cancel(x) * y * y)) * color(blue)((3 * cancel(x) * x * y)/(8))#

#=color(red)(cancel(y))/(cancel(y) * cancel(y)) * color(blue)((3 * x * cancel(y)))/(8)#

# = (3x)/8#