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Jer
2005-05-25 18:36:38
0^0

I was looking for an older post and came across a thread that was discussing why 0^0 was undefined.

This is what I show my Algebra students (before I make them explain why it is undefined.)

5^0 =
4^0 =
3^0 =
2^0 =
1^0 =
so
0^0 =

but

0^5 =
0^4 =
0^3 =
0^2 =
0^1 =
so
0^0 =

Federico Kereki
2005-05-25 20:32:45
Re: 0^0

A nice way of putting it! I did this myself starting with a^0=a^1/a, which for a=0 leads to 0/0, but I like your way better.

Using negatives would also do the job: 0^5, 0^4, 0^3, 0^2, 0^1 = 0, but 0^-1, 0^-2, 0^-3, 0^-4, 0^-5=infinity (or undefined), so 0^0 could go any way.

Dominique
2005-05-26 03:27:41
Re: 0^0

Can we make a rule that is no cussing in chatterbox please

Dominique
2005-05-26 03:28:16
Re: 0^0

nice to know someone likes algerbra too

Ravi Raja
2005-05-26 08:53:09
Re: 0^0

There are other ways too to prove that 0^0 = 1 and 0^0 = 0. (Obviously they are not correct). There must be some flaw in their proofs. That's the reason why 0^0 is UNDEFINED.

Raika
2005-05-26 22:52:43
Re: 0^0

What is 0^0?? Not to cause any trouble, but lots of the math problems on here and their explanations are confusing beacuse I don't understand some of the little signs they use. :(

Tristan
2005-05-26 23:07:53
Re: 0^0

^ is the symbol for the exponent operation. 3^2 is 32, or 9, and 0^0 is 00.

Jonathan Chang
2005-05-28 22:27:08
Re: 0^0

0^0 = 1; Jonathan^0 = 1 (Jonathan)

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