SOLUTION: d/g^2 / d^2/g^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: d/g^2 / d^2/g^3      Log On


   

Question 281601: d/g^2 / d^2/g^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28d%2Fg%5E2%29%2F%28d%5E2%2Fg%5E3%29 Start with the given expression.


%28d%2Fg%5E2%29%28g%5E3%2Fd%5E2%29 Multiply the first fraction by the reciprocal of the second.


%28dg%5E3%29%2F%28g%5E2d%5E2%29 Combine the fractions.


%28d%2Ag%2Ag%2Ag%29%2F%28g%2Ag%2Ad%2Ad%29 Factor.


Highlight the common terms.


%28cross%28d%29%2Across%28g%2Ag%29%2Ag%29%2F%28cross%28g%2Ag%29%2Across%28d%29%2Ad%29 Cancel out the common terms.


g%2Fd Simplify.


So %28d%2Fg%5E2%29%2F%28d%5E2%2Fg%5E3%29 simplifies to g%2Fd


In other words, %28d%2Fg%5E2%29%2F%28d%5E2%2Fg%5E3%29=g%2Fd