Proving the Three Cube Roots of 1 with w

[halvizo1031]

Homework Statement

Let w be a primitive cube root of 1. show that 1, w,w^2 are the three cube roots of 1.

Homework Equations

The Attempt at a Solution

I'm not quite sure how to even start this. any help will be greatly appreciated.

 

[Dick]

The primitive roots form a multiplicative group of order 3. Try starting there.