Pick up a high school mathematics textbook today and you will see that 0^{0} is treated as an *indeterminate form*. For example, the following is taken from a current New York Regents text [6]:

We recall the rule for dividing powers with like bases:

x(^{a}/x^{b}= x^{a-b}xnot equal to 0)(1) If we do not require

a>b, thenamay be equal tob. Whena=b:

x^{a}/x^{b}= x^{a}/x^{a}= x^{a-a }= x^{0}(2) but

x1^{a}/ x^{a}=(3) Therefore, in order for

x^{0}to be meaningful, we must make the following definition:Since the definition

x^{0}= 1 (xnot equal to 0)(4) x^{0}= 1 is based upon division, and division by 0 is not possible, we have stated thatxis not equal to 0. Actually, the expression 0^{0}(0 to the zero power) is one of severalindeterminateexpressions in mathematics. It is not possible to assign a value to an indeterminate expression.