### 1 (one)

In many situations the **number** **1** is omitted, but it is there anyway.

##### Explanation

When enumerating

you say *a*, two *a*, three *a*, but you don't start with one *a*. You can write 1*a* however. By exponentiation you get

where you then say *a*, and *a* square, and *a* cube. And not *a* to the power one, *and a *to the power two. You can write *a*^{1}, and even 1*a*^{1}, but that is never done. You can also write

For solving

you must first multiply the denominators with each other, and afterwards the numerators. So you must find a numerator for the 6, and of course you take 1 as

In a fraction you can divide the denominator and the numerator by the same number. Here you see

There remains 1 in the numerator, and this time you must write that. Don't call it delete, then you make a division. Now let us take the equation

This is correct, but it doesn't imply that 2 is equal 3. For every number *a* ≠ 0 applies *a*^{0} = 1. That works of course also for the number 1, so

and even for

It looks quite strange. We can easily check this, and find

Mind however

##### Example 1

A calculation with the number π gives

##### Example 2

You can also calculate with the number *e*

##### Example 3

You can write √2 as 1√2 and so is