MathsIsFun wrote:Absolutely ... it is quite intriguing.
100000^0 = 1
10^0 = 1
1^0 = 1
0.00001^0 = 1
So, 0^0 = 1BUT
0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0As it says in the mathforum article, it depends on which direction you come from!
My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.
0 or 1 may seem logical, not mathematical, strictly! It is Neither!
]]>Absolutely ... it is quite intriguing.
100000^0 = 1
10^0 = 1
1^0 = 1
0.00001^0 = 1
So, 0^0 = 1BUT
0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0As it says in the mathforum article, it depends on which direction you come from!
My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.
]]>Anything to the power 0 is 1. No-one knows why but it just happens.
This is to fulfill the laws of exponents which state
However,
If you take the view that 0^0=0, then 0^0^0=0^0=0
If you take the view that 0^0=1, then 0^0^0=0^1=0
Haha, that is true!
]]> 100000^0 = 1
10^0 = 1
1^0 = 1
0.00001^0 = 1
So, 0^0 = 1
BUT
0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0
As it says in the mathforum article, it depends on which direction you come from!
]]>... log x=0 log0...
The flaw in your proof is that the domain of the log function does not include 0. In other words, log0 is undefined.
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