Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: .. pOwers of a real number
Replies: 12   Last Post: Jun 25, 2009 3:59 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
galathaea

Posts: 1,646
Registered: 7/2/05
Re: .. pOwers of a real number
Posted: Jun 24, 2009 7:44 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Jun 24, 3:58 pm, qsymmetry <qsymme...@email.com> wrote:
> If x is a real number other than 0, 1, -1, is it true
> that all the powers of x are distinct?
>
> If  for some  integers r =/= s  we have   x^r = x^s,
> then x^{r - s} = 1.
>
> If r  - s  is even, then x = 1, or -1;  if r - s is odd,
> then x = 1.
>
> But I don't see a contradiction yet..
>
> Any thoughts on this would be appreciated.


you missed all the other roots of unity

and generally
x^r = x^(r + 2 pi n i)
with n an integer

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
galathaea: prankster, fablist, magician, liar



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.