Asked by Doyll

What is 0^0 equals to?
a.1
b.0
c.undefine

Answers

Answered by bobpursley
It is defined as zero.


Answered by Doyll
but my calculator says 1 and isn't all numbers raised to zero is equal to 1?
Help! It's very confusing...
Answered by bobpursley
Get a new calculator. O to any power is zero, by definition. Technically, O^0 is undefined, because the term x^y as a function of two variables is undefined at the origin.
Answered by Reiny
0^0 is undefined

reason:
0^n = 0 for any value of n
but a^0 = 1 for any value of a
so we have a contradiction, which drives mathematicians crazy, thus it is undefined

my 25 year old calculator gives me an error message for 0^0
Answered by Steve
However, if you look at the graph for

y = x^x

the limit near zero is 1.

limit x^x
log(limit) = x*logx
= logx/(1/x)
use l'Hospital's rule:
= (1/x) / (-1/x^2)
= -x
log(limit)=0, so limit=1
Answered by DrBob222
My two year old calculator gives an answer of "invalid".
Answered by JL
thanks for your answers...
I can now explain the different answers to my professor..
There are no AI answers yet. The ability to request AI answers is coming soon!

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