Thursday, 2 August 2018

exponentiation - What is 0 raised to 0 ???!!!!




I have read many articles on this confusion but i am still confused...




My simple question is -



What is 00?



What is the present agreement to this?



I feel that it should be 1 as anything to the power zero is one....



I am currently a school student so i would like a more of a school based answer..




So incase it comes in my exam i should know what to write:)


Answer



00 is most often undefined. The reason is that it is not possible to define it in a good enough way. Notice the following examples:



0x



Whenever x0 then this expression should equal to 0. However



x0




should be 1 whenever x0. Thus, if we define 00 to either 0 or 1 then we get problems with these functions not being continous (without jumps if you plot them) where they are defined, which is why we keep 00 undefined in most cases.


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