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Probably a naive question, as math is not my area....but if...

<< Back to: sci.math FAQ: What is 0^0?

Question by toshiro
Submitted on 10/29/2003
Related FAQ: sci.math FAQ: What is 0^0?
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Probably a naive question, as math is not my area....but if 0!=1, and 0 to the 0 power = 1, why does 0x0=0?  It strikes me that both 0! and 0 to the 0 power can be re-written as 0x0.


Answer by spinlock
Submitted on 12/31/2003
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0*0=0^2=0
0^n=0 when n>0

I believe 0! is incorrect since a factorial is for positive integers multiplying up to 1. (i.e. 3!=3x2x1, notice it stops at 1).

once again 0^0 != 0^2 (0*0)

 

Answer by Eric Schmidt ("Eric119")
Submitted on 1/11/2004
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The reason 0! = 1 is that it is the product of no numbers. The product of no numbers is 1 because that is the multiplicative identity. (1 * x = x for all x.)

 

Answer by mathie
Submitted on 2/10/2004
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0! = 1 because there is a generalization of factorials
called the  gamma function whereby 0! = gamma(1) = 1. The gamma function is defined as the integral of  
e^(-t)t^(z-1) dt   from 0 to infinity. Integration by parts establishes that  gamma(z+1)=z*gamma(z). the gamma function is defined for almost all complex numbers.

 

Answer by blah
Submitted on 2/24/2004
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1/2 times 1/2

 

Answer by xz
Submitted on 11/16/2006
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must be undefined

 

Answer by Jac Ques
Submitted on 11/16/2006
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x0 = 1, so ... 00 = 1
0n = 0, so ... 00 = 0
When in doubt ... 00 = "indeterminate

 

Answer by hotmama1009
Submitted on 12/15/2006
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Because it is as simple as this: 0 IS NOTHINGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG!

 

Answer by thamara
Submitted on 1/5/2007
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i do not know the answer

 

Answer by Shampoo
Submitted on 3/24/2007
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Actually, I have a wuestion and I need an answer right away!! Please tell me. Thanks.


Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest whole number, what is my answer?

 

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