
0^0 in the schoolroom
Posted:
Oct 19, 2013 10:57 AM


I am trying to remember what I was taught about x^y. I do know that, at university,
x^y =df e^{y log x}
for real or complex numbers (log being defined in terms of an integral, and exp as its inverse), and
x^0 =df 1, x^{y+1} =df x x^y
for natural numbers.
What I can't recall is what I was taught about
0^0
at school. Three possibilities come to mind: i) It was undefined. (more precisely: "I [the teacher] choose not to define it here and now.") ii) It was never mentioned. (And if a pupil asks?) iii) 0^0 = 1. (With or without justification.)
How do schools deal with it now? The answer might be different in different parts of the globe...
 The world will little note, nor long remember what we say here Lincoln at Gettysburg

