Anything to the power of 0 is 1.
And here's why.
Let's start with powers of 3s because they are easy.
Let's first assume 3^0 is 1.
Now as you can see, a number is 3 times greater than the number before it. Here's what I'm talking about.
3^2 is 9 and 3^3 is 27. It is obvious that 27 is 3 times greater than 9. This is the same with other numbers that is in the
"3-to-the-what power" form.
So if you think about it, shouldn't 3^0 be 1?
Because we know that a number is 3 times greater than the number before it.
And 3^1 is 3. So we have to divide that by 3 to get "3^0."
3/3 is 1.
So 3^0 is 1.
This concept can be hard to understand with one example.
But think about it. A similar rule applies to any other set of exponents with the same base.
2^1 (That 's 2) divided by 2 would get us 2^0. And 2^0=1. See a pattern?
So you see that you can divide a number with an exponent by its base to get the number that has an exponent 1 less than the original number's exponent. (example: 2^2 and 2^1. 2^1 has an exponent 1 less than 2^2. )
And that's my explanation.
There are probably many simpler and better-to-understand explanations out there...
Correct me if my explanation is wrong. I often get things mixed up in explaining things.
0^0 is undefined.
WolframAlpha is a better "Authority" on these matters. Try it and says 0^0 ="undefined".