SOLUTION: How do I solve 14z^3/15y^3 * 10z^2/4y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I solve 14z^3/15y^3 * 10z^2/4y      Log On


   

Question 156711: How do I solve 14z^3/15y^3 * 10z^2/4y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since this is not an equation, you can't solve it. However, you can simplify.


%28%2814z%5E3%29%2F%2815y%5E3%29%29%2A%28%2810z%5E2%29%2F%284y%29%29 Start with the given expression.


%28%2814z%5E3%29%2810z%5E2%29%29%2F%28%2815y%5E3%29%284y%29%29 Combine the fractions.


%28140z%5E5%29%2F%28%2815y%5E3%29%284y%29%29 Multiply 14z%5E3 and 10z%5E2 to get


%28140z%5E5%29%2F%2860y%5E4%29 Multiply 15y%5E3 and 4y to get %2815y%5E3%29%284y%29=%2815%29%284%29%28y%5E3%29%28y%29=60y%5E%283%2B1%29=60y%5E4


%2820%2A7z%5E5%29%2F%2820%2A3y%5E4%29 Factor 140 into 20%2A7. Factor 60 into 20%2A3


%28highlight%2820%29%2A7z%5E5%29%2F%28highlight%2820%29%2A3y%5E4%29 Highlight the common terms.


%28cross%2820%29%2A7z%5E5%29%2F%28cross%2820%29%2A3y%5E4%29 Cancel out the common terms.


%287z%5E5%29%2F%283y%5E4%29 Simplify


So %28%2814z%5E3%29%2F%2815y%5E3%29%29%2A%28%2810z%5E2%29%2F%284y%29%29 simplifies to %287z%5E5%29%2F%283y%5E4%29


In other words, where y%3C%3E0