Quandaries
and Queries 

My name is Greta, and I am a 7th grader and my test is coming up. The question I would like to ask you is why 0 elevated to 0 is unidentified. 

Hi Greta, Mathematicians try to use notation that somehow makes sense. In this case of trying to decide what 0^{0} "should mean", we compare it to other uses of the exponent.
Lets try a^{b} where a and b are very close to zero, but not zero. This is a calculator exercise.
So if a = b and they are both close to zero it looks like 0^{0} "should be" 1.
This time it looks like 0^{0} "should be" 1/2. It is this confusion that is the problem. There is no value that I would say 0^{0} "should be" this value. The way out of this confusion is just to say that 0^{0} doesn't have a value, that is, it is undefined. Penny 

