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Another good one
Think it is C)
From A) X=1, Y=1 or X=5,Y=0 then stem may be or may not be 0
B) by itself is not suff-all three may be 0 or any other integer
From both when X=Y=Z=1 we get ans to question
C

Another comment: Please don't ask me to "define" 00. There are at least two ways of looking at this quantity:

* Anything to the zero power is "1", so 0^0 = 1.
* Zero to any power is zero, so 0^0 = 0.

As far as I know, the "math gods" have not yet settled on a "definition" of 00. In fact, in calculus, "00" will be called an "indeterminant form". If this quantity comes up on class, don't assume: ask your instructor what you should do with it.

I would go w/ E as it's not clear what's the value of 0^0.

I maintain my point of view It's a result very specific and famous for it

To the ones that doubt, i suggest that they use the window calculator for example. They can calculate 0^0=1.... The result is 1

And to be sure, they can try:
> -1,2^2,1 >>>> Invalid input function
> 1/0 >>>> cannot divid by zero

In addition, this result is required for a "Serie" representing a fonction. For the ones who remind it, we have
f(x)= Sigma( a(k)*x^k ) where k start from 0 and tend to infinate.

We can imagine imagine a fonction defined for a the value of x=0 thus
f(0) = a(0)*0^0 = a(0)

Last edited by Fig on 12 Sep 2006, 02:10, edited 3 times in total.

I maintain my point of view It's a result very specific and famous for it

To the ones that doubt, i suggest that they use the window calculator for example. They can calculate 0^0=1.... The result is 1

And to be sure, they can try: > -1,2^2,1 >>>> Invalid input function > 1/0 >>>> cannot divid by zero

In addition, this result is required for a "Serie" representing a fonction. For the ones who remind it, we have f(x)= Sigma( a(k)*x^k ) where k start from 0 and tend to infinate.

We can imagine imagine a fonction defined for a the value of x=0 thus f(0) = a(0)*0^0 = a(0)

Don't be confused. Windows calculator is not a maths standard. Windows did not design calculator to clarify the math fundamentals. See the below link. It is clearly stated that "A number other than 0 taken to the power 0 is defined to be 1" http://mathworld.wolfram.com/Power.html

NOTE: This is one of the trusted link. _________________

Interesting link The content does not state on 0^0.

Moreover, concerning calculators, I have tried on 3 differents, one of them is my old HP 48S confirmed it ... Excell works on it too... and so on Windows calculator is just a common and easy-to-access calculator

I personnaly practiced, well a few time ago, some math problems involving 0^0. As i said, a 'serie' represating a fonction is one application.