What is the value of 0^0 according to GMAC??

[vittalgmat]

Hi,
I wanted to know the value of 0^0.
For GMAT purposes, do we say the value is 1 or do we say undefined, similar to any_number_divided_by_0 ??

Thanks in advance.

[vivek.kapoor83]

i think it cant be 1....but i have found this link ...telling various explantations and it cn hv both values,depending upon the context
refer to the folllowing

https://www.faqs.org/faqs/sci-math-faq/s ... bers/0to0/

[Stuart@KaplanGMAT]

For GMAT purposes, 0^0 = 1

[vittalgmat]

Thanks Stuart.
However, I hope I never get a question which hinges on knowing the value of 0^0. Different test sites have different opinions. I went thru Kaplan course and I was told 0^0 = 1. But one of the questions in GMAT Club test relies on this info.

What is the value of integer J ?

1. |J| = J^(-J)
2. J^J = 1

The answer would be A or D depending on the value of 0^0.

[Ian Stewart]

Mathematicians don't agree on how to define 0^0, so there's no way a GMAT test-taker will need to know how it's defined. For GMAT purposes, you should consider it to be undefined, much like the square root of a negative, but you will never be asked a question that hinges on knowing anything about 0^0 anyway. Questions that aren't real GMAT questions, like the one above, might be different.