# How do you simplify #2^ 0#?

##### 3 Answers

#### Explanation:

For any non-zero number

#a^0 = 1#

Note that

Here's one way of thinking of it:

If

#2*n = overbrace(2+2+...+2)^(n color(white)(x)"times")#

When

#2^n = overbrace(2xx2xx...xx2)^(n color(white)(x)"times")#

When

anything powered zero is equal to one

1

#### Explanation:

Think in:

Because we know that a number divided by itself is 1.

And as you may already know, when you divide exponents you just subtract them.

To simplify:

There is also a pattern:

Same base, decrease the exponent by 1 and get half the value

so: