Here's one for the math geeks :)
 

At another message board I visit (CProgramming.com), there was a thread I glanced over (here), and got me thinking, what is the answer?

The question is: What does 0 raised to the 0 power equal?

By the rule of exponents, the answer would be one, but 0 times any amount of 0's is 0. Can someone please clear this up?

Re: Here's one for the math geeks :)
 

I'd say it'd fall under the rules of exponents, in which case it'd be 1. But another way to look at it is (0^1)/(0^1) (which by definition is 0^(1-1) which equals 0^0). This would be 0/0, in which case it's undefined. My calculator says 1, so take that for what it's worth. I can't think of any reason it'd be 0 though.

Re: Here's one for the math geeks :)
 

I consider this problem to fall under the rule of exponents, which states anything to the zero power is equal to one. Anything from a number to a complex equation all raised to the zero power is equal to one. So following this rule and checking it with my calculator, 0^0 is equal to one.

Re: Here's one for the math geeks :)
 

It's definitely 1 ;) I agree with many of the statements here: http://www.math.hmc.edu/funfacts/ffiles/10005.3-5.shtml

Re: Here's one for the math geeks :)
 

While it's true that multiplying zero by itself any number of times will give you zero, in this case you're not multiplying zero by itself any number of times. since the exponent is zero, you're not multiplying it by itself at all. It's just 1.

Re: Here's one for the math geeks :)
 

*math isn't really just for geeks, ARE THEY???*NANCIENANCIE_47* :yikes:

Re: Here's one for the math geeks :)
 

lol...nope.

Suprisingly, no one has gotten the answer right. Don't feel bad though, I forgot about a major part of the exponent rule (I think it's from that anyways).

If no one gets it right by ~7.5 PM -5 GMT tonight, I'll post the answer.

<<Edit>>:

Some people have gotten it right. Now....try and guess which :D (It'd be either undefined, 0, or 1)

Re: Here's one for the math geeks :)
 

Ok, for all that want the answer...here it is........

*dramatic drum roll* *some more drum roll, and now a guitar solo for kicks*


The answer.......shall be.........UNDEFINED!!!!!

The rule of exponents (I believe, I know this is true, dunno from what though) state that no exponent shall have a base that is equal to zero. If you have a graphing calculator (prefer. a TI series 83 and up), just put in "0^0" w/o quotes, and you should get an error. If you tried this while using Windows calc., or some other O/S calc., then you'd get one, because the program probably uses a exponent function which only does basically figuring (IE: It doesn't see it as "0 can not be a base", it sees it as "0 raised to the 0 power equals zero").

Ok, enough rambling, I hope you all enjoyed this brain teaser.

Re: Here's one for the math geeks :)
 

[quote=Raven_Writer]The rule of exponents (I believe, I know this is true, dunno from what though) state that no exponent shall have a base that is equal to zero. [quote]

Do you have a reference? Electronic calculators aren't exactly known for their mathematical insight and understanding of fundamental ideas.

Re: Here's one for the math geeks :)
 

Re: Here's one for the math geeks :)
 

0*0 is most defnitely 0, and for 0/0, L'Hopital's rule should be applied.

Re: Here's one for the math geeks :)
 

Not off hand. I learned it in Math class last year & a refresher this year. You can probably ask any GOOD math teacher that knows this stuff, and s/he'll probably tell you it'd be undefined (unless it works in the imaginary system, doubt it highly though)