  # Multiply Algebraic Terms with Powers

In this worksheet, students will multiply more complicated algebraic terms. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Popular topics:   Algebra worksheets

Difficulty level:   #### Worksheet Overview

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

Example

Simplify:

2a3b × 5a4b2

Break down what 2a3b and 5a4b2 mean 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

Take the terms one at a time.

Start by multiplying the numbers (2 × 5 = 10).

Then deal with the indices of identical letters by adding the powers:  for a: 3 + 4 = 7 and for b: 1 + 2 = 3

Shall we try some questions now?

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