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Expand Single Brackets Using the Laws of Indices

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

'Expand Single Brackets Using the Laws of Indices' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

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.





Laws of Indices

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





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!



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

Answer is e3 + e5


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