0^0 is 0 or the solution doesnt exist. why??

Question

anonymous · Answer

?

anonymous · Answer

zero to the power of zero.  equals 0 or it doesn't exist?

akshay_budhkar · Answer

the answer is doesn't exist

anonymous · Answer

0^0 = 1

akshay_budhkar · Answer

you can verify from here http://www.wolframalpha.com/input/?i=0^0

anonymous · Answer

it is equal to 1
anythng to the power of zero is 1

anonymous · Answer

i need an argument why or why not.. hmmm...

anonymous · Answer

yes... 0^0 in terms of a determinate is indeterminate

akshay_budhkar · Answer

anything to the power 0 is 1 other than 0 itself ofcourse.. if you see the graph of x^0 it is discontinuous at x=0

jim_thompson5910 · Answer

0 to any power is 0

anything to the power of 0 is 1


see the conflict?


So 0^0 is indeterminate

anonymous · Answer

there is conflict but wouldn't that mean the theory itselt is a conflict lol?

jim_thompson5910 · Answer

more formally, 

$$\Large 0^x=0$$ where x is nonzero

$$\Large x^0=1$$ where x is nonzero

anonymous · Answer

0=1 is a false staemtn

jim_thompson5910 · Answer

exactly, so saying 0^0 = 1 is not correct, neither is saying 0^0 = 0

anonymous · Answer

lol this question is a puzzle itself?

akshay_budhkar · Answer

Ah so that is what i am telling.. it does not exist or else if we have x tending to zero then we have to evaluate the limit using the most appropriate method availbale

jim_thompson5910 · Answer

i guess you can see it that way, but you'll find that x=0 isn't in the domain of x^x

akshay_budhkar · Answer

it is one of the seven to eight indeterminate forms.. it is a part of limits

akshay_budhkar · Answer

So is your query cleared? or did it get more intensified?

anonymous · Answer

Def confused, but it's ok,  haha

akshay_budhkar · Answer

Why are you confused??

anonymous · Answer

what kind of math are you taking? like is this a college level course? because this kind of question is a little bit of a joke and yet a serious question in my ibh maths class and well, i wouldn't say there's no answer, i'd just say that it's undefined. if you graph an xˆy function, its a function of 2 variables and so it's not continuous in origin. but in the case of 0ˆ0, thinks get really messy.. i remember i asked my math teacher this question once and all he did was he looked at me and said, "because mathematicians said so."

anonymous · Answer

it's a college level math course but the teacher is obviously trying to see what i'm going to answer.  we have to explain why we think it's 0 or why we think there is no solution