SOLUTION: (-24x^4*y^-6)/(14x^-3*y-3)

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Question 823256: (-24x^4*y^-6)/(14x^-3*y-3)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
First, I assume that the denominator is (14x^-3*y^-3) and not what you posted.

%28-24x%5E4%2Ay%5E-6%29%2F%2814x%5E-3%2Ay%5E-3%29
It might help if you rewrite this fraction so that each coefficient or variable is in its own fraction:
%28%28-24%29%2F14%29%2A%28x%5E4%2Fx%5E-3%29%2A%28%28y%5E-6%29%2F%28y%5E-3%29%29

With the numbers fraction we just reduce like you've done many times before. With the variables, we use the rule for exponents when dividing: Subtract the exponents:
%28%28-12%29%2F7%29%2A%28x%5E%284-%28-3%29%29%29%2A%28y%5E%28-6-%28-3%29%29%29
which simplifies to:
%28%28-12%29%2F7%29%2A%28x%5E7%29%2A%28y%5E-3%29
This may be an acceptable form the for the answer. But we could...
  • Multiply it all back together:
    %28-12x%5E7+%2A+y%5E-3%29%2F7
    Or...
  • Eliminate the negative exponent...
    %28%28-12%29%2F7%29%2A%28x%5E7%29%2A%281%2Fy%5E3%29
    ... and then multiply it all back together:
    %28-12x%5E7%29%2F%287y%5E3%29