This worksheet is about the multiplication of algebraic terms with powers.
Example
Do the following multiplication.

Method 1
Remember what a^{9} and a^{3} mean and multiply them together.
We get: a × a × a × a × a × a × a × a × a × a × a × a
This can be simplified to a^{12}
Method 2
The other way we can look at this is by just looking at the indices. We already know that a^{9} x a^{3} = a^{12}
The trick to notice here is that if we are multiplying numbers written as powers, we can just add the indices.
a^{9} x a^{3} = a^{(9+3)} = a^{12}