SOLUTION: Build the rational expression into an equivalent rational expression with the indicated denominator. (3y^2)/(8x^3z) = (?)/(32x^4z)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Build the rational expression into an equivalent rational expression with the indicated denominator. (3y^2)/(8x^3z) = (?)/(32x^4z)       Log On


   

Question 206195: Build the rational expression into an equivalent rational expression with the indicated denominator.
(3y^2)/(8x^3z) = (?)/(32x^4z)

Answer by Marth(57) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2Ay%5E2%29%2F%288%2Ax%5E3%2Az%29
And you want a denominator of 32%2Ax%5E4%2Az
To get from 8%2Ax%5E3%2Az to 32%2Ax%5E4%2Az, you need to multiply by %2832%2Ax%5E4%2Az%29%2F%288%2Ax%5E3%2Az%29 = 4x
%28%283%2Ay%5E2%29%2F%288%2Ax%5E3%2Az%29%29%2A%28%284%2Ax%29%2F%284%2Ax%29%29
= %2812%2Ax%2Ay%5E2%29%2F%2832%2Ax%5E4%2Az%29