Fractions as Indices

You need to be able to recognise fractions in indices. This simple section explores fractions in the rules of indices.
Below are the indices rules where you will encounter the use of fractions.

The above indices rules involve the use of fractions. Let us look at some examples;
Suppose we had to simplify;

We know that √x translates to x^½, so we have;

Multiplication of indices results in the addition of their index or powers; You can see from the indices rules chart at the bottom of this article. So we only need to add the indexes;

So we see that;

Below is a full list of the indexes rules;