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Powers of Algebraic Powers (3)

In this worksheet, students must simplify powers of algebraic powers.

'Powers of Algebraic Powers (3)' worksheet

Key stage: KS 3

Curriculum topic: Algebra

Curriculum subtopic: Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:

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Worksheet Overview

This worksheet is about simplifying powers of algebraic powers.

Example

Simplify:

(2a³b²)⁴

Answer

Remember what to the power of 4 means and multiply the terms 4 times.

We get:

2a³b² × 2a³b² × 2a³b² × 2a³b²

Multiply the numbers (2 × 2 × 2 × 2 = 16).

Add the indices of identical letters

(for the letter a: 3 + 3 + 3 + 3 = 12 and for the letter b: 2 + 2 + 2 + 2 = 8).

Answer is 16a¹²b⁸.

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