SOLUTION: (2x-2)^-2/(4x-4)^-2

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Question 1006863: (2x-2)^-2/(4x-4)^-2
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
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Use the rule of making negative exponents positive by
moving the base and exponent from numerator to denominator
or denominator to numerator and changing the sign of the
negative exponent to positive:

%284x-4%29%5E2%2F%282x-2%29%5E2%22%22=%22%22

Factor out 4 inside the parentheses in the numerator.
Factor out 2 inside the parentheses in the denominator.

%284%28x-1%29%5E%22%22%29%5E2%2F%282%28x-1%29%5E%22%22%29%5E2%22%22=%22%22

Give all the factors inside the larger parentheses their
understood exponents of 1

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Remove the larger parentheses by distributing the outer 
exponents into the inner exponents

%284%5E2%28x-1%29%5E2%29%2F%282%5E2%28x-1%29%5E2%29%22%22=%22%22

Cancel the (x-1)2's

%284%5E2cross%28%28x-1%29%5E2%29%29%2F%282%5E2cross%28%28x-1%29%5E2%29%29%22%22=%22%22

4%5E2%2F2%5E2%22%22=%22%22

16%2F4%22%22=%22%22

4

Edwin