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Topic: 0^0=1
Replies: 145   Last Post: Jun 5, 2012 1:10 PM

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Ki Song

Posts: 286
Registered: 9/19/09
Re: 0^0=1
Posted: May 7, 2012 11:06 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Monday, May 7, 2012 4:51:38 AM UTC-4, Ross wrote:
>
> I'm not a mathematician, and I can't read all 380 posts in this
> thread.
>
> But, my understanding of the reason that x^0 = 1 is a consequence of
> negative exponents. E.g.


Not quite, it's the other way around. The definition that

x^-n = 1/x^n

comes from

1) x^0 = 1.
2) x^(n+m) = x^n x^m


>
> if 2^-2 equals 1/2^2 and x^a * x^b = x^(a+b), then 2^2 * 2^-2 = 2^(2 +
> -2) = 2^0.
>
> We can then expand the example to get 2^0 = 2^2 * 1/(2^2) = 1.
>
> However, if x = 0, then the derivation of a^0 = 1 no longer works:
>
> 0^2 * 0^-2 = 0*0 / (0*0) = 0/0 which is undefined.


0 to any negative exponent is not defined.


>
> Hence x^0 = 1 is based on a derivation that doesn't work for x=0, and
> hence to quote the consequence of that derivation to argue the value
> of 0^0 is plain wrong.
>
> I presume that I'm "missing something" and someone will be along to
> spank me soon.




Date Subject Author
4/20/12
Read 0^0=1
Don H
4/20/12
Read Re: 0^0=1
Virgil
4/20/12
Read Re: 0^0=1
Pubkeybreaker
4/20/12
Read Re: 0^0=1
J. Antonio Perez M.
4/20/12
Read Re: 0^0=1
Richard Tobin
4/20/12
Read Re: 0^0=1
Don H
4/21/12
Read Re: 0^0=1
LudovicoVan
4/21/12
Read Re: 0^0=1
Peter Webb
4/21/12
Read Re: 0^0=1
Dave Dodson
4/21/12
Read Re: 0^0=1
Peter Webb
4/21/12
Read Re: 0^0=1
Don H
4/21/12
Read Re: 0^0=1
Frederick Williams
4/21/12
Read Re: 0^0=1
Don H
4/21/12
Read Re: 0^0=1
Frederick Williams
4/21/12
Read Re: 0^0=1
Bart Goddard
4/22/12
Read Re: 0^0=1
Don H
4/22/12
Read Re: 0^0=1
J. Antonio Perez M.
4/22/12
Read Re: 0^0=1
Bart Goddard
4/22/12
Read Re: 0^0=1
Virgil
4/23/12
Read Re: 0^0=1
Frederick Williams
4/23/12
Read Re: 0^0=1
Pubkeybreaker
4/23/12
Read Re: 0^0=1
Frederick Williams
4/22/12
Read Re: 0^0=1
Dave Dodson
4/22/12
Read Re: 0^0=1
Pubkeybreaker
4/22/12
Read Re: 0^0=1
Frederick Williams
4/22/12
Read Re: 0^0=1
Pubkeybreaker
4/22/12
Read Re: 0^0=1
J. Antonio Perez M.
4/22/12
Read Re: 0^0=1
Peter Webb
4/22/12
Read Re: 0^0=1
J. Antonio Perez M.
4/23/12
Read Re: 0^0=1
Pubkeybreaker
4/22/12
Read Re: 0^0=1
Frederick Williams
4/22/12
Read Re: 0^0=1
Frederick Williams
5/7/12
Read Re: 0^0=1
Ross Clement
5/7/12
Read Re: 0^0=1
LudovicoVan
5/7/12
Read Re: 0^0=1
exmathematician
5/7/12
Read Re: 0^0=1
Ki Song
5/7/12
Read Re: 0^0=1
LudovicoVan
5/7/12
Read Re: 0^0=1
Ki Song
5/7/12
Read Re: 0^0=1
LudovicoVan
5/7/12
Read Re: 0^0=1
Ki Song
5/10/12
Read Re: 0^0=1
Michael Stemper
5/7/12
Read Re: 0^0=1
Frederick Williams
5/7/12
Read Re: 0^0=1
LudovicoVan
5/8/12
Read Re: 0^0=1
Butch Malahide
5/8/12
Read Re: 0^0=1
LudovicoVan
5/8/12
Read Re: 0^0=1
Ross Clement
5/8/12
Read Re: 0^0=1
Jussi Piitulainen
5/7/12
Read Re: 0^0=1
Ross Clement
5/8/12
Read Re: 0^0=1
Frederick Williams
5/8/12
Read Re: 0^0=1
Ki Song
5/8/12
Read Re: 0^0=1
David W. Cantrell
5/8/12
Read Re: 0^0=1
Dan Christensen
5/8/12
Read Re: 0^0=1
Frederick Williams
5/8/12
Read Re: 0^0=1
Dan Christensen
5/8/12
Read Re: 0^0=1
William Hale
5/8/12
Read Re: 0^0=1
Dan Christensen
5/9/12
Read Re: 0^0=1
Frederick Williams
5/10/12
Read Re: 0^0=1
Michael Stemper
5/10/12
Read Re: 0^0=1
Dan Christensen
5/9/12
Read Re: 0^0=1
Frederick Williams
5/9/12
Read Re: 0^0=1
Dan Christensen
5/9/12
Read Re: 0^0=1
LudovicoVan
5/10/12
Read Re: 0^0=1
Michael Stemper
5/8/12
Read Re: 0^0=1
Dan Christensen
5/8/12
Read Re: 0^0=1
Frederick Williams
5/22/12
Read Re: 0^0=1
Michael Press
5/28/12
Read Re: 0^0=1
address_is@invalid.invalid
5/28/12
Read Re: 0^0=1
address_is@invalid.invalid
6/5/12
Read Re: 0^0=1
Michael Press
4/21/12
Read Re: 0^0=1
David C. Ullrich
4/21/12
Read Re: 0^0=1
G. A. Edgar
4/23/12
Read Re: 0^0=1
David C. Ullrich
4/25/12
Read Re: 0^0=1
Shmuel (Seymour J.) Metz
4/26/12
Read Re: 0^0=1
Helmut Richter
4/21/12
Read Re: 0^0=1
LudovicoVan
4/21/12
Read Re: 0^0=1
Richard Tobin
4/21/12
Read Re: 0^0=1
Efftard K. Donglemeier
4/22/12
Read Re: 0^0=1
Frederick Williams
4/22/12
Read Re: 0^0=1
Don H
4/22/12
Read Re: 0^0=1
Bart Goddard
4/23/12
Read Re: 0^0=1
harold james
4/23/12
Read Re: 0^0=1
Don H
4/24/12
Read Re: 0^0=1
Bart Goddard
4/24/12
Read Re: 0^0=1
Frederick Williams
4/24/12
Read Re: 0^0=1
Pubkeybreaker
4/22/12
Read Re: 0^0=1
Pfsszxt@aol.com
4/22/12
Read Re: 0^0=1
Wally W.
4/22/12
Read Re: 0^0=1
J. Antonio Perez M.
4/22/12
Read Re: 0^0=1
Dan Christensen
4/23/12
Read Re: 0^0=1
Jussi Piitulainen
4/23/12
Read Re: 0^0=1
Dan Christensen
4/23/12
Read Re: 0^0=1
Jussi Piitulainen
4/23/12
Read Re: 0^0=1
Dan Christensen
4/23/12
Read Re: 0^0=1
Frederick Williams
4/23/12
Read Re: 0^0=1
Dan Christensen
4/23/12
Read Re: 0^0=1
Jussi Piitulainen
4/23/12
Read Re: 0^0=1
Dan Christensen
4/23/12
Read Re: 0^0=1
Jussi Piitulainen
4/23/12
Read Re: 0^0=1
Dan Christensen
4/23/12
Read Re: 0^0=1
Frederick Williams
4/23/12
Read Re: 0^0=1
Dan Christensen
4/24/12
Read Re: 0^0=1
Frederick Williams
4/25/12
Read Re: 0^0=1
Shmuel (Seymour J.) Metz
4/25/12
Read Re: 0^0=1
Dan Christensen
4/25/12
Read Re: 0^0=1
Frederick Williams
4/25/12
Read Re: 0^0=1
Dan Christensen
4/25/12
Read Re: 0^0=1
Rotwang
4/25/12
Read Re: 0^0=1
Dan Christensen
4/25/12
Read Re: 0^0=1
Frederick Williams
4/25/12
Read Re: 0^0=1
Dan Christensen
4/25/12
Read Re: 0^0=1
Jussi Piitulainen
4/25/12
Read Re: 0^0=1
David W. Cantrell
4/25/12
Read Re: 0^0=1
Dan Christensen
4/26/12
Read Re: 0^0=1
Jussi Piitulainen
4/26/12
Read Re: 0^0=1
Dan Christensen
4/26/12
Read Re: 0^0=1
Rotwang
4/26/12
Read Re: 0^0=1
Dan Christensen
4/26/12
Read Re: 0^0=1
Dan Christensen
4/25/12
Read Re: 0^0=1
Frederick Williams
4/25/12
Read Re: 0^0=1
Jussi Piitulainen
4/25/12
Read Re: 0^0=1
Dan Christensen
4/26/12
Read Re: 0^0=1
Jussi Piitulainen
4/26/12
Read Re: 0^0=1
Dan Christensen
4/26/12
Read Re: 0^0=1
Jussi Piitulainen
4/26/12
Read Re: 0^0=1
Dan Christensen
4/27/12
Read Re: 0^0=1
Jussi Piitulainen
5/22/12
Read Re: 0^0=1
Michael Press
5/22/12
Read Re: 0^0=1
Kaba
5/23/12
Read Re: 0^0=1
Michael Press
4/23/12
Read Re: 0^0=1
Frederick Williams
4/27/12
Read Re: 0^0=1
Frederick Williams
4/26/12
Read Re: 0^0=1
Dan Christensen
4/26/12
Read Re: 0^0=1
Dan Christensen
4/27/12
Read Re: 0^0=1
Frederick Williams
4/27/12
Read Re: 0^0=1
Dan Christensen
4/27/12
Read Re: 0^0=1
Repeating Rifle
4/27/12
Read Re: 0^0=1
jbriggs444@gmail.com
4/28/12
Read Re: 0^0=1
Repeating Rifle
4/28/12
Read Re: 0^0=1
Dan Christensen
4/28/12
Read Re: 0^0=1
Frederick Williams
4/28/12
Read Re: 0^0=1
Tim Little
4/27/12
Read Re: 0^0=1
Shmuel (Seymour J.) Metz
4/29/12
Read Re: 0^0=1
Dr J R Stockton
4/29/12
Read Re: 0^0=1
David W. Cantrell

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