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

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 Question by toshiro Submitted on 10/29/2003 Related FAQ: sci.math FAQ: What is 0^0? Rating: Rate this question: N/A Worst Weak OK Good Great 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 Rating: Rate this answer: N/A Worst Weak OK Good Great 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 Rating: Rate this answer: N/A Worst Weak OK Good Great 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 Rating: Rate this answer: N/A Worst Weak OK Good Great 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 Rating: Rate this answer: N/A Worst Weak OK Good Great 1/2 times 1/2

 Answer by xz Submitted on 11/16/2006 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great must be undefined

 Answer by Jac Ques Submitted on 11/16/2006 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great x0 = 1, so ... 00 = 1 0n = 0, so ... 00 = 0 When in doubt ... 00 = "indeterminate

 Answer by hotmama1009 Submitted on 12/15/2006 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great Because it is as simple as this: 0 IS NOTHINGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG!

 Answer by thamara Submitted on 1/5/2007 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great i do not know the answer

 Answer by Shampoo Submitted on 3/24/2007 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great 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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