How do you factor with negative exponents? I have a couple of problems to do and none of them make any sense to me

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How do you factor with negative exponents? I have a couple of problems to do and none of them make any sense to me

Mathematics
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like ?
\[x^2(x-1)^{-2}-4(x-1)^{-1}\]
when you see negative exponent you should flip the fraction \[\huge\rm \frac{ x^{-m} }{1 }=\frac{ 1 }{ x^m }\]

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I understand but how could you factor it if it's a fraction?
?
oky sorry was answering the phone \[\huge\rm \frac{ x^2 }{ (x-1)^2 }-\frac{ 4 }{ (x-1) }\]
No problem
alright now find the common denominator :=)
brb

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