1.3 Rule 3 – Powers of powers
You know that a2 = a × a.
This can be extended to powers of powers.
Using Rule 1 gives:
This time the product (3 × 2) of the original powers is the same as the power in result. So, rule 3 can be stated as:
Again, this rule works for positive and negative indices.
So far you have looked at powers that are all integers, however fractional powers are also very common. These will be the subject of the next section.