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Generally people mistake in the second statement , where one uses one's direct primary school concept where if bases are equal , then power has to be the same...... and thus p=1........... is not taken into consideration.. very tricky sum...

Hi there, I had my problems with this problem too and chose Statement E since I could not figure out whether it's 0 or 1. Since this is a diagnostic test and many people haven't heard of the fact that GMAT might not test neither 0^0 nor 0! why don't we rephrase the question to:

If p is a non-zero integer, what is the value of p?

How do i know what is not tested in GMAT ? I.e. 0^0. Is there a definitive list of things like this which are likely to throw you off ? (Not that the outcome of the problem changes, but it very well could in other problems). Thanks.

0^0, in some sources equals to 1, some mathematicians say it's undefined. Anyway you won't need this for GMAT because the case of 0^0 is not tested on the GMAT: http://www.manhattangmat.com/np-exponents.cfm

The fact that this concept is not tested on the GMAT means that you won't encounter a problem on the GMAT in which you should decide what 0^0 is equal to. So for example if there will be x^x in the problem then somehow the possibility of x being zero will be excluded, for example by saying that x is positive integer or by simply saying that x doesn't equal to zero.

So is this question valid anymore, if 0^0 is not tested???

(A) give me 3 values {-1,0,1} (B) gives 3 values {0,1,2} if we say 0^0 is not tested in the GMAT, then when p=0 the condition 0^0 = 0^2 should not be considered????

How do i know what is not tested in GMAT ? I.e. 0^0. Is there a definitive list of things like this which are likely to throw you off ? (Not that the outcome of the problem changes, but it very well could in other problems). Thanks.

It is not about whether \(0^0\) is tested or not on GMAT! \(0^0\) is not a number! You can use the term undefined or indeterminate.

For convenience, sometimes it is defined as 1, just to express some formulas simply, especially when computer coded. If you need a more mathematical discussion of the topic, see for example: http://mathworld.wolfram.com/Zero.html

Of course, you don't need to be a mathematician to do the GMAT quant ... it just happens that I am a mathematician.

So, for the GMAT purposes, you can be sure that \(0^0\) is not a number and treat it as such. The same holds for the division by 0. _________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Tricky question, because I did not know that 0^0 cannot be determined and therefore I thought the answer was E. But you now for sure that 0^0 will not be tested on the GMAT

How are we supposed to know that 0 isn't tested on the GMAT? 0^0 = 0^2, so this should work. And therefore, 0 or 1 could be the answer so answer to problem should be E, no?

I chose E answer. Before I read this topic, as many of the forum's members I had got 1, -1, 0 values from the statement 1 and 1, 0, 2 from the statement 2. Now as we know that \(0^0\) is not tested on the GMAT, why this question is still not corrected, for example this way: If \(p\) is an integer and not equal to zero, what is the value of \(p\)?