What is zero to the zero power?

Answer 1

See my related link posts. There's some good information there.

This is what's called an indeterminate form. There is some consensus that maybe it should be equal to 1, but only in some situations. Depending on the functions that get you into the situation of zero to the zero power, you can get different results, just like functions that arrive at zero divide by zero.

Think of the graph y = x^0 (the carat means raise to the power of).

Since anything raised to power of zero equals 1, then you have the line y=1, but now take the graph y = 0^x. So zero to any number equals zero, so the line is y=0. But zero to the zero should come up with the same answer, regardless of what functions got you there. That's why it is indeterminate.