Rewriting Power Series - Simple Algebra Question

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SUMMARY

The discussion centers on rewriting the expression (-1)^(n-1) in the context of power series. The user seeks clarification on whether this can be expressed as (-1)^n * (-1). The consensus is that the expression can indeed be rewritten as (-1)^n / (-1), confirming that (-1)^(n-1) equals [(-1)^n] / (-1).

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Homework Statement


My question involves a small algebra issue within a power series problem. I have (-1)^n-1 and i just need to know how i can re-write this. I know that if it were (1)^n+1 i could re-write as (1)^n * (n)
So can i write (-1)^n-1 as (-1)^n * (-1) ?


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The Attempt at a Solution

 
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To answer this, think about what (-1)^{-1} is.
 
(-1)^n-1 = [(-1)^n]/(-1)
 

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