1. Oct 26, 2011 #1

   flyingpig

   

   1. The problem statement, all variables and given/known data
   
   Prove directly:
   
   Prove that if [tex]2^{2x}[/tex] is odd integer, then [tex]4^{x}[/tex] is odd integer
   
   
   3. The attempt at a solution
   
   [tex]2^{2x} = 2k + 1[/tex] for some k is integer
   
   [tex]2^{2x} = 4^{x} = 2k + 1[/tex]
   
   Thus completes the proof?
   
   Am I allow to make the assumption (fact) [tex]2^{2x} = 4^{x}[/tex]?
   
   Thanks

    

   flyingpig, Oct 26, 2011
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3. Oct 26, 2011 #2

   micromass

   

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   That is correct. It is indeed true that [itex]a^{bc}=(a^b)^c[/itex].

    

   micromass, Oct 26, 2011
4. Oct 26, 2011 #3

   flyingpig

   

   nvm...I am just being an idiot

    

   flyingpig, Oct 26, 2011
5. Oct 26, 2011 #4

   ArcanaNoir

   

   That's okay, sometimes I get concerned when things are trivial too.

    

   ArcanaNoir, Oct 26, 2011

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