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Let a1,a2,,anbe the nthroots of unity and let be the roots of unity. Compute a1a2anb1b2bn+1. 

 

The hint is: What is the nthroot of unity?  

 Jan 14, 2025
 #1
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Using Demoivre's Theorem, I found that the answer is i.

 Jan 16, 2025

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