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Let \(a_1,a_2,\dots,a_n \)be the \(n^\text{th}\)roots of unity and let be the roots of unity. Compute \( \frac{a_1a_2\cdots a_n}{b_1b_2\cdots b_{n+1}}. \) 

 

The hint is: What is the \(n^\text{th}\)root 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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