May I get a comment on this proof?

[flyingpig]

Homework Statement

Prove directly:

Prove that if 2^{2x} is odd integer, then 4^{x} is odd integer

The Attempt at a Solution

2^{2x} = 2k + 1 for some k is integer

2^{2x} = 4^{x} = 2k + 1

Thus completes the proof?

Am I allow to make the assumption (fact) 2^{2x} = 4^{x}?

Thanks

 

[micromass]

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

 

[flyingpig]

nvm...I am just being an idiot

 

[ArcanaNoir]

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