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May I get a comment on this proof?

  • Thread starter flyingpig
  • Start date
  • #1
2,571
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Homework Statement



Prove directly:

Prove that if [tex]2^{2x}[/tex] is odd integer, then [tex]4^{x}[/tex] is odd integer


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
 

Answers and Replies

  • #2
22,097
3,279
That is correct. It is indeed true that [itex]a^{bc}=(a^b)^c[/itex].
 
  • #3
2,571
1
nvm...I am just being an idiot
 
  • #4
768
4
That's okay, sometimes I get concerned when things are trivial too.
 

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