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0 raised to 0????

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ichadaram
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0 raised to 0???? [#permalink] New post   19 Feb 2010, 22:11
According to Gmat what is the value of 0 raised to 0????
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Bunuel
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0 raised to 0???? [#permalink] New post   19 Feb 2010, 22:32
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ichadaram wrote:
According to Gmat what is the value of 0 raised to 0????


In some sources, 0^0 equals 1, while others maintain that it's undefined: https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero. However, you won't need to concern yourself with this for the GMAT, as the case of 0^0 isn't tested. Any real GMAT problem will exclude this case likely by explicitly stating that a variable is not zero.
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swatipratyush
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Re: 0 raised to 0???? [#permalink] New post   21 Feb 2010, 23:41
Hi,
Though Bunuel has explained already, i just want to elaborate:

0^0= 1

0 raised to any other power is 0.

Ex. 0^3,0^1 etc will be 0.
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Re: 0 raised to 0???? [#permalink] New post   19 Jul 2016, 21:10
I just wanted to contribute to this question.
Actually if 1/0 is not defined. Then isn't 0 to any negative power is also un-defined?
So technically can we say that 0^x is only defined for x>0?
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Bunuel
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Re: 0 raised to 0???? [#permalink] New post   19 Jul 2016, 21:27
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ajdse22 wrote:
I just wanted to contribute to this question.
Actually if 1/0 is not defined. Then isn't 0 to any negative power is also un-defined?
So technically can we say that 0^x is only defined for x>0?


Yes, you cannot rise 0 to negative power.
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0 raised to 0???? [#permalink] New post   23 Mar 2018, 09:38
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ichadaram wrote:
According to Gmat what is the value of 0 raised to 0????


Dear ichadaram,

0^0 is not 0 or 1. It is not 'infinite' either.

0^0 is 'not defined' (yes, it is different from 'infinite').

Please refer to my post on the following thread for a detailed explanation of the difference between 'infinite' and 'not defined':

https://gmatclub.com/forum/0-raised-to- ... 61933.html

All the best!
Maxximus
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marathi478
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Re: 0 raised to 0???? [#permalink] New post   28 Mar 2018, 02:57
It maybe helpful to review first why any number raised to the power of zero equals 1

For instance, 3^0 = 1 WHY ? One way to understand this is through the division rule for exponents i.e. for example 2^5/2^3 = 2^ (5-3) = 2 ^ 2 = 2 X 2 = 4. Another case = 7 ^ 1 / 7 ^ 1 = 7 / 7 = 1 OR 7 ^ (1 - 1) = 7 ^ 0 = 1 again.

Similarly for zero we can also write 0 ^ 1 / 0 ^ 1 = 0 / 0 = 0 ^ (1-1) = 0 ^ 0 = 1
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Re: 0 raised to 0???? [#permalink]
28 Mar 2018, 02:57
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Bunuel
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