Grade 12th passAlgebra
(Roots of Unity)𝜁k= exp((2𝜋ki)/n)How to show that 𝜁k is a root of unity for each k= 1,2,3...n. I know that in order for 𝜁k to be a root of unity it needs to equal 1, so do I substitute k values and check if they equal 1? I don't know how to begin solving this question. Please help. Thank you.
(Roots of Unity)
𝜁k= exp((2𝜋ki)/n)
How to show that 𝜁k is a root of unity for each k= 1,2,3...n.
I know that in order for 𝜁k to be a root of unity it needs to equal 1, so do I substitute k values and check if they equal 1? I don't know how to begin solving this question. Please help. Thank you.
