Standard index form is very useful when writing very big or very small numbers. Standard index form is also known as standard form.

Part of

Here you can use the rules for multiplying and dividing powers. Remember these rules:

- To multiply powers you add, eg
- To divide powers you subtract, eg

Simplify .

It is useful to separate the numbers and the indices, and then multiply the by and add the powers of :

A similar method is used when dividing:

Simplify .

Another way to write a division is to write it in the form of a fraction. The numbers and the indices can then be separated, before dividing the by and subtracting the powers of :

.

- Question
Simplify .

Did you get ?

Remember to write the division in the form of a fraction to start.

Remember you should first work out , then subtract the powers of (because it is division), like this:

.