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What is the value of $0^0$ ??

I have read many discussions regarding it but the result was only confusion. Is it 0, 1 or not defined??

Ashwin Upadhyay
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  • This has been asked before. – wlad May 27 '15 at 16:31
  • This has been asked many times before, but it's difficult to search for. Could someone find an appropriate duplicate thread so we can close this one? – anomaly May 27 '15 at 16:32
  • http://math.stackexchange.com/questions/11150/zero-to-the-zero-power-is-00-1 – Jeffrey L. May 27 '15 at 16:33
  • See the answer here. In brief, $0^0$ is either $1$ or undefined, depending on the context. It is rarely, if ever, defined to be zero. – Ben Grossmann May 27 '15 at 16:33
  • Amusingly, Google reports more than 25 billion results if you search on "0^0." Its own calculator says the answer is $1$. – Barry Cipra May 27 '15 at 16:36
  • I find the fascination with $0^0$ very curious, as there are few situations in which it arises in any context. Up there with summing positive numbers to $-{1 \over 12}$ - more evidence of the conspiratorial nature of mathematics. – copper.hat May 27 '15 at 16:40
  • @copper.hat What do you mean by conspiratorial? – wlad May 27 '15 at 16:51
  • @user3491648: It was a lighthearted poke at the fascination many have with proofs of $1 = 0$, etc. As though it was evidence of some deep flaw that mathematicians conspire to hide from the rest :-). – copper.hat May 27 '15 at 16:55

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The answer to 0^0 = not defined. https://www.youtube.com/watch?v=BRRolKTlF6Q explains it with more detail.

St.Clair Bij
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