SOLUTION: Multiply the rational expression: 4x^2 * 27 ---- --- 9x 16xy^2 This was a quiz question that I got wrong and I would like to know why. My original answer was: 108

Algebra ->  Rational-functions -> SOLUTION: Multiply the rational expression: 4x^2 * 27 ---- --- 9x 16xy^2 This was a quiz question that I got wrong and I would like to know why. My original answer was: 108       Log On


   

Question 980240: Multiply the rational expression:
4x^2 * 27
---- ---
9x 16xy^2
This was a quiz question that I got wrong and I would like to know why. My original answer was:
108
---
144x^2
Found 2 solutions by AnlytcPhil, josgarithmetic:
Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2 * 27
---- ---
9x 16xy^2 
%284x%5E2%29%2F%289x%29%22%22%2A%22%2227%2F%2816xy%5E2%29

%284x%5E2%2A27%29%2F%289x%2A16xy%5E2%29

Divide the 4 in the top into the 16 in the bottom getting 4 in the bottom

%28x%5E2%2A27%29%2F%289x%2A4xy%5E2%29

Divide the 9 in the bottom into the 27 in the top getting 3 in the bottom

%28x%5E2%2A3%29%2F%28x%2A4xy%5E2%29

Multiply the two x's in the bottom as x2

%28x%5E2%2A3%29%2F%28x%5E2%2A4y%5E2%29

Cancel the x2's

3%2F%284y%5E2%29

Edwin

Answer by josgarithmetic(39630) About Me  (Show Source):