Prove the Identity by Using a Sign Reversing Involution

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Prove the Identity by Using a Sign Reversing Involution (See Attachment)
 

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I am not seeing an attachment.

Is this homework or a question from a textbook??
 
The attachment is there now, and no, it's not a homework question. I'm just trying to understand the involution and I wasn't sure where to post it as I haven't been on here in YEARS. Apologies if it is in the incorrect location.
 
I'll move it to homework, since it seems to be a textbook-type problem.

So what did you try to solve the problem? Where are you stuck?
 
Pretty much at the beginning, I'm not even entirely sure how to approach the identity.
 

Thread 'Finding the nth roots of a complex number'

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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