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Multiplication of Algebraic Terms with Powers (2)

In this worksheet, students must multiply more complicated algebraic terms.

'Multiplication of Algebraic Terms with Powers (2)' 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:

2a3b × 5a4b2

 

Answer

Remember what 2a3b and 5a4b2 means and multiply them.

We get:    

2 × a × a × a × b × 5 × a × a × a × a × b × b

 

Bring the numbers to the front and separate the letters to get:

2 × 5 × a × a × a × a × a × a × a × b × b × b

 

This gives us

10 × a × a × a × a × a × a × a × b × b × b

 

which simplifies to

10a7b3

 

 

Quick method

Simplify:

2a3b × 5a4b2

 

Answer

Multiply the numbers (2 × 5 = 10).

Add the indices of identical letters (for a: 3 + 4 = 7 and for b: 1 + 2 = 3).

Answer is 10a7b3.

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