Yahoo Answers: Answers and Comments for What is 0^0? [Mathematics]
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enGB
Sun, 17 Mar 2019 02:08:51 +0000
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Yahoo Answers: Answers and Comments for What is 0^0? [Mathematics]
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From Φ² = Φ+1: In school you were taught that 0^(1) = 1/0 =...
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Sun, 17 Mar 2019 06:09:44 +0000
In school you were taught that 0^(1) = 1/0 = 0 ?
We know that 1^1 = 1, so by binomial expansion
1 = 1^1
1 = (1+0)^1
1 = 1 * 1^1 * 0^0 + 1 * 1^0 * 0^1
1 = 1 * 1 * 0^0 + 1 * 1 * 0
1 = 0^0 + 0
then 0^0 = 1
This may not be strictly true, but it is at least a useful value. Like 0! = 1.

From Jeffrey K: You must find the limit as x approaches 0 of f...
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Sun, 17 Mar 2019 03:37:23 +0000
You must find the limit as x approaches 0 of f(x) = x^x. Use can use l'hopitals rule or just put in a small number for x and see what happens. If x=.001 then x^x is close to 1.
X can not be negative because of fractional negative values. If x = 1/2 then x^x = 1 / sqrt(1/2) and you can not take the square root of a negative number.

From Luca: It's 3am here and I can't find a good ...
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Sun, 17 Mar 2019 02:29:32 +0000
It's 3am here and I can't find a good answer to the exact point, but in the limit x→0 we have that x^x = exp(x ln x).
In that limit (x→0+) the argument of the exponential goes to zero, since x goes to zero faster then ln x goes to inf. This leaves us with exp(0) = 1.
ANY exponential function is defined only when the base in bigger or equal zero. In that case it's when x>=0. You can calculate single values for negative bases, but they're not a function anymore (at least not in R).

From Idealist: 1
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Thu, 21 Mar 2019 20:46:57 +0000
1

From RichdiculouslyGood: I believe it is indeterminate
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Thu, 21 Mar 2019 13:44:47 +0000
I believe it is indeterminate

From Philomel: 0^0= 1 by definition. Anything to the zero pow...
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Wed, 20 Mar 2019 14:14:23 +0000
0^0= 1 by definition. Anything to the zero power is 1.

From Anonymous: It's 1.
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Tue, 19 Mar 2019 20:04:00 +0000
It's 1.

From sepia: The value of 0^0 can not be determined.
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Tue, 19 Mar 2019 14:41:53 +0000
The value of 0^0 can not be determined.

From Jimmy S: according to excel, it's #NUM!
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Tue, 19 Mar 2019 07:33:21 +0000
according to excel, it's #NUM!

From Steve: It is perplexed. You know an emoticon or whate...
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Mon, 18 Mar 2019 23:43:57 +0000
It is perplexed. You know an emoticon or whatever they call it. It has no mathematical sense stupids.

From Jim Moor: While the actual answer is "indefinite&qu...
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Mon, 18 Mar 2019 19:52:39 +0000
While the actual answer is "indefinite", I would think it would be agreed upon that the value sould be '1'

From Raymond: It is indeterminate (you cannot determine the ...
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Tue, 19 Mar 2019 02:18:35 +0000
It is indeterminate (you cannot determine the value).
The rule for limits is that the limit must be the same, regardless of the "direction" you take to get there.
Bluntly, a limit must be unique.
As soon as you can show more than one limit value, then the value does not exist and the operation cannot be determined.
Let's look at n^0
and allow n to get closer and closer to zero (for example, n = 1/2, 1/4, 1/8...)
The value of n^0 will be 1 for all values of n, therefore the limit is "1"
If this is valid, then 0^0 = 1
Now consider 0^n
and allow n to get closer and closer to zero.
The value of 0^n will be 0 for all values of n, therefore the limit is "0"
If this is valid, then 0^0 = 0
Both operations are valid, yet they reach a different limit. Therefore the limit does not exist.

From Krishnamurthy: Indeterminate form
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Mon, 18 Mar 2019 14:54:58 +0000
Indeterminate form

From Ricardo: 1 = (y^x)/(y^x) = y^(xx) = y^0
But I don'...
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Mon, 18 Mar 2019 09:28:41 +0000
1 = (y^x)/(y^x) = y^(xx) = y^0
But I don't think y can be 0, cause 0^0 is undetermined.
If you calculate, for instance, .0001^.0001, you'll see the result is .99, but not 1.

From ted s: 0^0 = 0...but limit as x > 0+ of f(x) =...
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Sun, 17 Mar 2019 03:44:33 +0000
0^0 = 0...but limit as x > 0+ of f(x) = x^x = 1...thus f(x) is not continuous at x = 0...and the proper definition of x^x is e^(x ln x )

From Jack: what is 1 to the power 2..1*1 ...so...1^2 =1
w...
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Tue, 19 Mar 2019 15:48:32 +0000
what is 1 to the power 2..1*1 ...so...1^2 =1
what is 2 to the power 3... 2*2*2 so 8
then what is 0 to the power 0?
it is 0
Physically speaking, it is nothing..i mean..it is saying like nothing has happened...i.e 0(nothing) raised to the power 0(nothing).
some call it indeterminate form also..

From promise: ITS INDIFINITE
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Mon, 18 Mar 2019 11:03:35 +0000
ITS INDIFINITE

From Anonymous: Any number to the zeroth power is 1. At leas...
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Sun, 17 Mar 2019 02:23:34 +0000
Any number to the zeroth power is 1. At least, that's what I remember.

From kanye: This is sexissim slavery. Tyhis is obijectigyi...
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Mon, 18 Mar 2019 13:02:49 +0000
This is sexissim slavery. Tyhis is obijectigying woemen. more wemen in stem fields. #feminisim