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Multiplication of Algebraic Terms with Powers (1)

In this worksheet, students must multiply algebraic terms.

'Multiplication of Algebraic Terms with Powers (1)' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

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

 

Example

Simplify:

2a3 × 5a4

 

Answer

Remember what 2a3 and 5a4 mean and multiply them.

We get:    

2 × a × a × a × 5 × a × a × a × a

 

Bring the numbers to the front to get:

2 × 5 × a × a × a × a × a × a × a

 

This gives us

10 × a × a × a × a × a × a × a

 

which simplifies to

10a7

 

 

Quick method

Simplify:

2a3 × 5a4

 

Answer

Multiply the numbers (2 × 5 = 10).

Add the indices of identical letters (3 + 4 = 7).

Answer is 10a7.

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