This activity is about the multiplication of algebraic terms with powers.
Do the following multiplication:
Break down what a9 and a3 mean and multiply them together.
We get: a × a × a × a × a × a × a × a × a × a × a × a
This can be simplified to a12
The other way we can look at this is by just looking at the indices. We already know that a9 x a3 = a12
The trick to notice here is that if we are multiplying numbers written as powers, we can just add the indices.
a9 x a3 = a(9 + 3) = a12
Does that make sense? Let's test it out in some questions.