# Expand Single Brackets Using the Laws of Indices

In this worksheet, students will expand single brackets using the laws of indices.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:

#### Worksheet Overview

In this activity, we are going to incorporate expanding single brackets with using the laws of indices.

Let's recap both first!

Expanding brackets -  everything inside the bracket gets multiplied by whatever is outside the bracket.

Example

Laws of Indices

Multiplying, when the base is the same we add the powers.

Example

Adding the powers saves us writing the whole thing out as in the example above!

Let's put both topics together now and look at a typical question!

Example

e2 (e + e3)

Expand the bracket.

e2 x e = e3  Remember that if there is no power, it is to the power of 1.

e2 x e3 = e5

Let's try some questions!

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