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Hurray! Saturday night Math question?! Girlfriend...

Alright, I'm hoping some of you guys can explain this out to me in lehman's terms, because I can't for the life of me wrap my head around it.

Here we go:

0^0 = 1 How can this be?

Zero to the power of Zero = One?

I just used my calculator for it to confirm on this, and it comes up with the answer of 1, but I don't get how this is an excepted answer.

EDIT: Just to clarify, I understand (fairly well) why other numbers to the power of 0 = 1, but not 0 itself.

http://www.google.com/search?client...=utf-8&oe=utf-8


woah.

*brains*

Its a hack basically...

http://mathforum.org/dr.math/faq/faq.0.to.0.power.html

I like math sorta, too bad I suck at it.

quote:

This fact is based on the laws of indices: 1) (x^a)(x ^b) = x^(a+b) 2) (x^a) / (x ^b) = x^(a-b) 3) (x^a)^b = (x^b)^a = x^(ab) --------------------- Consider x^n / x^n where n is a non-zero integer. Using the second law of indices, x^n / x^n = x^(n-n) = x^0 However, we also know that anything divided by itself is equal to 1 (ignoring 0). Therefore x^n / x^n = 1 Putting these two answers together: 1 = x^n / x^n = x^(n-n) = x^0 Therefore x^0 = 1. [x=0 is a curious case and is undefined] Hope that clears things up

http://answers.yahoo.com/question/i...09133746AAuXWPt

quote:

Originally posted by Joss Weatherby Its a hack basically... http://mathforum.org/dr.math/faq/faq.0.to.0.power.html I like math sorta, too bad I suck at it.

I'm also in the 'I suck at math' group.

anything to the zero power is 1

quote:

Originally posted by Zombie0729 anything to the zero power is 1

but zero to the power of anything is zero! stupid math.

3^0 = 1
2^0 = 1
1^0 = 1
0^0 = ?
0^1 = 0
0^2 = 0
0^3 = 0

quote:

Originally posted by Zombie0729 anything to the zero power is 1

That makes sense when the value you're putting to the power of 0 actually is a value. 0 has no value. So what you're saying is, I have zero apples and I take my zero apples and power the amount of apples I have by 0. Suddenly 1 appears out of thin air?

Sorry, I can't except that as a logical answer.

quote:

Originally posted by idoru http://answers.yahoo.com/question/i...09133746AAuXWPt

Sorry, didn't see this right away, Idoru. So the value is undefined? Not 0? So my calculator is wrong?

Re: Hurray! Saturday night Math question?! Girlfriend...

quote:

Originally posted by cmay119 lehman's terms

i dont think your problem is with math.

Re: Re: Hurray! Saturday night Math question?! Girlfriend...

quote:

Originally posted by pkcRAISTLIN i dont think your problem is with math.

quote:

Originally posted by cmay119 That makes sense when the value you're putting to the power of 0 actually is a value. 0 has no value. So what you're saying is, I have zero apples and I take my zero apples and power the amount of apples I have by 0. Suddenly 1 appears out of thin air? Sorry, I can't except that as a logical answer.

Its 1 due to the laws of indice, it has no place in terms of real powers... I mean when could you ever power an apple by another apple anyways?

You have to think of this on a graph.

Math

quote:

Originally posted by Joss Weatherby Its 1 due to the laws of indice, it has no place in terms of real powers... I mean when could you ever power an apple by another apple anyways? You have to think of this on a graph.

Fair point. I guess I'm just thinking of 0 as being the representation of nothingness in terms of real world value. So that's probably why I'm having a nose bleed trying to wrap my head around this, lol.

quote:

... I mean when could you ever power an apple by another apple anyways?

This part right here is sig worthy .

So something really can come from nothing?

quote:

Originally posted by Krypton So something really can come from nothing?

According to quite a few sources. Though others say this isn't the case... I'm leaning towards the nay-sayers myself.

quote:

Originally posted by Krypton So something really can come from nothing?

fuck.
he stole what i was gona write.

quote:

Originally posted by kadomony

quote:

Originally posted by cmay119 I have zero apples and I take my zero apples and power the amount of apples I have by 0. Suddenly 1 appears out of thin air?

It worked for Jesus with fish...

What an interesting subject. The link that Joss posted is great, it looks at it from a calculus perspective, testing limits of trig functions that approach zero and find out if they're both zero, what happens. Math is crazy shit, I averaged B's all semester in linear algebra, it's kinda cool how you can solve Differential Equations just by throwing it into a matrix and doing some row operations and simple algebra to solve it.

Btw, this dude's tattoo rules.

quote:

Originally posted by ziptnf What an interesting subject. The link that Joss posted is great, it looks at it from a calculus perspective, testing limits of trig functions that approach zero and find out if they're both zero, what happens. Math is crazy shit, I averaged B's all semester in linear algebra, it's kinda cool how you can solve Differential Equations just by throwing it into a matrix and doing some row operations and simple algebra to solve it.

I should really learn math... I failed it all through high school. Then again you'd fail it too if the normal level math classes involved chapter long story problems about the Oregon Trail and you learned more history than math...

Yeah, dude, I suck at history, I'm much more logical. I'm good at things like Logic Design, Digital Electronics, and most programming classes.

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