Power Rule Question: Why Did 1-2x Become 2x-1?

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I just did a problem that made use of the power rule. Here is the final step:

(1-2x)
-------------
-(x-x^2)^5/4

=

(2x-1)
-------------
-(x-x^2)^5/4


Why did 1-2x become 2x-1 (2x-1 is the answer according to my book)??
 
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Are you sure there's a minus sign in both denominators?
 
yep I'm looking at the solution manual right now...
 
Well, that can't be right. :wink: (I suspect a typo.)
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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