# Multiply Algebraic Terms with Powers

In this worksheet, students will multiply 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:

2a3 × 5a4

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

Multiply the numbers (2 × 5 = 10).

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

Shall we have a go at some questions now?

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