I assume you are familiar with powers.

The problem is similar to that with
division by zero.
No value can be assigned to 0 to the power 0 without running
into contradictions. Thus **0 to the power 0 is undefined!
**

How could we define it? 0 to any positive power is 0, so 0 to the power 0 should be 0. But any positive number to the power 0 is 1, so 0 to the power 0 should be 1. We can't have it both ways.

Underlying this argument is the same idea as was used in the
attempt to define 0 divided by 0. Consider *a* to
the power *b* and ask what happens as *a* and
*b* both approach 0. Depending on the precise way
this happens the power may assume any value in the limit.

Fine print, your comments, more links, Peter Alfeld, PA1UM

[16-Aug-1996]