SOLUTION: Simplify the complex fraction. Assume no division by 0. (x^-3 - 3x^-4) divided by (3x^-3 - 9x^-4)

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Question 1129049: Simplify the complex fraction. Assume no division by 0.
(x^-3 - 3x^-4) divided by (3x^-3 - 9x^-4)
Found 3 solutions by MathLover1, MathTherapy, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify the complex fraction. Assume no division by 0.
(x^-3 - 3x^-4) divided by (3x^-3 - 9x^-4)
matrix%281%2C3%2C+%28x%5E-+3+-+3x%5E-+4%29%2C+%22%F7%22%2C+%283x%5E-+3+-+9x%5E-+4%29%29



matrix%281%2C3%2C+%281%2Fx%5E3+-+3%2Fx%5E4%29%2C+%22%F7%22%2C+%283%2Fx%5E3+-+9%2Fx%5E4%29%29



 ------ Applying KCF

 ------------- Factoring numerator and denominator

 --------- Cancelling numerators and denominators

highlight_green%28highlight%281%2F3%29%29

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The two responses you have received before mine both give the right answer, after a lot of work.

Expressions like this are simplified far more easily by multiplying numerator and denominator by an appropriate power of the variable to eliminate the negative exponents.

%28x%5E%28-3%29-3x%5E%28-4%29%29%2F%283x%5E%28-3%29-9x%5E%28-4%29%29 =

x%5E4%28%28x%5E%28-3%29-3x%5E%28-4%29%29%29%2Fx%5E4%28%283x%5E%28-3%29-9x%5E%28-4%29%29%29 =

%28x-3%29%2F%283x-9%29 =

%28x-3%29%2F%283%28x-3%29%29 =

1%2F3