It says 0 to the power 0 is 1

M. L. Chow shared this problem 3 years ago
Not a Problem

I typed in 0^0 and Geogebra gives me 1 as answer.

Comments (5)

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which is a common answer. Search for this calculation and you'll find out it is.

chris

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I thought 0^0 is indeterminate and thought Geiger’s is reputable, and surprised to get such an nonsensical answer.

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You'll find both answers in literature. As exponent zero is in any case tricky (and you could say nonsensical), you could take '1' for an answer for all numbers including or excluding 0 to give sence to the whole system of powers. As I said search for this calculation and nut just one source. The ressource of Michael is not 'nonsensical' at all, no?

chris

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Here is f(x)=x^x (how do I get correct notation for exponents here?)

0^0 is usually considered as a limit. In that sense, it depends which of the two gets to 0 "first".

lim x->0 x^0 = 1 and lim x->0 0^x=0.

But lim x->0 x^x = 1 (which does not mean exactly that 0^0=1).

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