#1**0 **

Anything to the power of 0 is 1.

[Edited]

And here's why.

Let's start with powers of 3s because they are easy.

Let's first assume 3^0 is 1.

So...

3^0 =1.

3^1=3.

3^2=9.

3^3=27.

3^4=81.

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.

Gh0sty15 Oct 19, 2017