Finding a complex number w such that fifth roots of 1 are 1, w, w², w³, w⁴

[Procrastinate]

Show that a complex number, w exists such that the fifth roots may be expressed as 1, w, w^2, w^3 and w^4I am having trouble understanding what the question is asking of me. Could anyone please help? Thanks.

 

[phyzguy]

I think it is asking you to find a complex number w such that w^5 = 1.