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# Why 0 to the power of 0 is 1 or anything to the power of 0 is 1

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KingDebater
 Voting Style: Open Point System: 7 Point Started: 4/4/2013 Category: Science Updated: 4 years ago Status: Post Voting Period Viewed: 1,132 times Debate No: 32079
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Posted by rottingroom 4 years ago
Exponents are actually a mathematical formula used to determine growth. We only remove (or simplify) the parts that seem practically unnecessary to make the learning process easier. This is acceptable because simplification of the formula works for every situation except in the case of 0^0.

We learn to conceptualize exponents like this:

so it would seem to follow that 0^0 = 0

However, the actual application of this is this:

original * growth^duration = new

or

growth^duration = new/original

The expression "growth^duration=0" does not change the final product. It just means that there was no "growth" and no "duration" of time for growth. Whatever value "new" was when it was "original", it is still that number after the operations. Therefore "0^0 = anything". A calculator considers this but proceeds with the final operation "new/original" which will always be the same number if the operation is 0^0, hence the answer "1".

The answer is anything because when you have something and 0 growth occurs during 0 time you still have what you had at the beginning.

If you have 5 apples and they don"t grow exponentially then how many apples do you have? Hint: It"s not 0 or 1!
Posted by guesswhat101 4 years ago
Clearly neither of you have ever taken calculus nor have heard of limits
Posted by guesswhat101 4 years ago
Clearly neither of you have ever taken calculus nor have heard of limits
Posted by rottingroom 4 years ago
you guys are both wrong. I'll wait til the resolution to explain.
Posted by elvroin_vonn_trazem 4 years ago
Mathematics is not normally a subject of debate, because math statements tend to be provable one way or the other. In this case, zero to the zero power is formally declared to be "undefined". That MAY mean that it is something that can be argued-about....

http://www.math.hmc.edu...
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