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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:  

Worksheet Overview

QUESTION 1 of 10

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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