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# 0 raised to 0????

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Intern
Joined: 07 Nov 2009
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0 raised to 0????  [#permalink]

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19 Feb 2010, 21:11
According to Gmat what is the value of 0 raised to 0????
Math Expert
Joined: 02 Sep 2009
Posts: 52336
Re: 0 raised to 0????  [#permalink]

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19 Feb 2010, 21:32
2
ichadaram wrote:
According to Gmat what is the value of 0 raised to 0????

$$0^0$$, in some sources equals to 1, some mathematicians say it's undefined. Anyway you won't need this for GMAT.

"During the past decade, mathematicians argued extensively about the value of 0^0. Some answer that 0^0 = 1, while others answer that 0^0 is undefined. In the unlikely event that this question appears in some format or is a required intermediary calculation, the correct answer is more likely that 0^0 = 1."
http://www.platinumgmat.com/gmat_study_ ... ial_powers

and:
"Note: the case of 0^0 is not tested on the GMAT."
http://www.manhattangmat.com/np-exponents.cfm
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Re: 0 raised to 0????  [#permalink]

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21 Feb 2010, 22:41
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.
Manager
Joined: 17 Aug 2015
Posts: 99
Re: 0 raised to 0????  [#permalink]

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19 Jul 2016, 20:10
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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Re: 0 raised to 0????  [#permalink]

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19 Jul 2016, 20:27
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]

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23 Mar 2018, 08:38
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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Concentration: Entrepreneurship, International Business
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Re: 0 raised to 0????  [#permalink]

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28 Mar 2018, 01:57
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
Re: 0 raised to 0???? &nbs [#permalink] 28 Mar 2018, 01:57
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# 0 raised to 0????

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