You may already know how to expand simple bracket such as:

**5(b + 3) = 5b + 15 **

**5a(b + 4) = 5ab + 20a**

Now we are going to look at expanding brackets where some of the terms involve **indices**.

Remember that indices is just another way of saying **powers**.

We can use index laws to help us simplify terms when expanding brackets.

Remember that when we multiply out numbers with indices, we can just add the powers:

**e.g. w³ × w² = w ^{5}**

Let's apply this to expanding brackets.

**e.g. Expand 5a²(a ^{4} + 2a)**

5a² × a^{4} = 5a^{6}

5a² × 2a = 10a³

So the answer is: 5a^{6} + 10a³

In this activity, we will expand brackets to create simpler expressions, applying index laws to calculate successfully when working with powers.