# Solve Problems Using Multiplication to Simplify Algebraic Powers

In this worksheet, students will solve problems by using multiplication to simplify algebraic powers.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:

#### Worksheet Overview

In this activity, we will be practising how to simplify algebraic powers using multiplication.

Example

Simplify:

(2a3b2)4

Remember we are multiplying the bracket  like this:

2a3b2 × 2a3b2 × 2a3b2 × 2a3b2   = 16a12b8

Rather than write them out, we used a quicker method.

We multiplied the powers inside the bracket with the power outside the bracket.

So, we can see how we ended up with the answer of 16a12b8

In this activity, we will use this to help us with some problem type questions, like this one:

Question

A cube has side 2a5

Write an expression for the volume of the cube.

Before we can start working on the indices we need to know that the volume of a cube is width x height x depth.

We can say that (2a5)3 = 23 x a5x3

= 8a15

Let's try some questions.

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