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comment by thenewgreen
thenewgreen  ·  4828 days ago  ·  link  ·    ·  parent  ·  post: The Munchausen Number
I don't understand why 0 to the 0 doesn't equal 0?

Cool post though.





smoorman1024  ·  4828 days ago  ·  link  ·  
Isn't the logic something like:

4^(1)==4^(4-3)==(4 * 4 * 4 * 4)/(4 * 4 * 4) http://www.wolframalpha.com/input/?i=4^%281%29%3D%3D4^%284-3...

Therefore 4^0==4^(n-n)== ( 4 * 4 * .. * 4 / 4 * 4 * .. * 4 ) ==1 http://www.wolframalpha.com/input/?i=4^0%3D%3D4^%28n-n%29%3D...

So with 0 you would have 0^0==0^(n-n)==(0 * 0 * .. * 0)/(0 * 0 * .. * 0)==0/0==DNE http://www.wolframalpha.com/input/?i=prod%280%2C+for+i%3D0+t...

Of course I use 4 here to be descriptive but it would be equivalent for any nonzero real number.

mike  ·  4824 days ago  ·  link  ·  
(a) 0 to "any" power = 0. (b) "any" number to the power of 0 = 1... Go!
thenewgreen  ·  4824 days ago  ·  link  ·  
thanks mike, appreciate it