1. Apr 19, 2010 #1

   halvizo1031

   

   1. The problem statement, all variables and given/known data
   Let w be a primitive cube root of 1. show that 1, w,w^2 are the three cube roots of 1.
   
   
   2. Relevant equations
   
   
   
   3. The attempt at a solution
   I'm not quite sure how to even start this. any help will be greatly appreciated.

    

   halvizo1031, Apr 19, 2010
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3. Apr 19, 2010 #2

   Dick

   

   Science Advisor

   Homework Helper

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

    

   Dick, Apr 19, 2010

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