The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

  1. Maths
  2. Year 8
  3. Algebra: Expressions
left-icon BACK TO WORKSHEETS

Powers of Algebraic Powers (1)

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

'Powers of Algebraic Powers (1)' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Try it

Worksheet Overview

QUESTION 1 of 10

This worksheet is about simplifying powers of algebraic powers.

 

Example

Simplify:

(a3)4

 

 

Answer

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

We get:    

a3 × a3 × a3 × a3

 

Add the indices of identical letters (3 + 3 + 3 + 3 = 12).

Answer is a12.

Simplify:

(a3)2

a32

a5

a6

Simplify:

(a3)3

a27

a9

a6

Simplify:

(b3)2

b9

b32

b6

Simplify:

(b4)2

b8

b16

b6

Simplify:

(c2)4

c8

c16

c6

Simplify:

(c2)5

c7

c10

c32

Simplify:

(c3)5

c8

c10

c15

Simplify:

(p3)7

p10

p-4

p21

Simplify:

(p2)9

p11

p18

p7

Simplify:

(y4)8

y32

y12

y48

  • ANSWERS
  • Question 1

Simplify:

(a3)2

CORRECT ANSWER
a6
EDDIE SAYS
(a3)2 = a3 × a3
Add the indices.
  • ANSWERS
  • Question 2

Simplify:

(a3)3

CORRECT ANSWER
a9
EDDIE SAYS
(a3)3 = a3 × a3 × a3 Add the indices.Add the indices.
  • ANSWERS
  • Question 3

Simplify:

(b3)2

CORRECT ANSWER
b6
EDDIE SAYS
(b3)2 = b3 × b3
Add the indices.
  • ANSWERS
  • Question 4

Simplify:

(b4)2

CORRECT ANSWER
b8
EDDIE SAYS
(b4)2 = b4 × b4
Add the indices.
  • ANSWERS
  • Question 5

Simplify:

(c2)4

CORRECT ANSWER
c8
EDDIE SAYS
(c2)4 = c2 × c2 x c2 × c2 Add the indices.
  • ANSWERS
  • Question 6

Simplify:

(c2)5

CORRECT ANSWER
c10
EDDIE SAYS
(c2)4 = c2 × c2 x c2 × c2 × c2 Add the indices.
  • ANSWERS
  • Question 7

Simplify:

(c3)5

CORRECT ANSWER
c15
EDDIE SAYS
(c3)5 = c3 × c3 x c3 × c3 × c3 Add the indices.
  • ANSWERS
  • Question 8

Simplify:

(p3)7

CORRECT ANSWER
p21
EDDIE SAYS
(p3)7 = p3 × p3 × p3× p3 × p3× p3× p3 Add the indices.
  • ANSWERS
  • Question 9

Simplify:

(p2)9

CORRECT ANSWER
p18
EDDIE SAYS
(p3)9 = p2 × p2 × p2× p2 × p2× p2× p2× p2× p2 Add the indices.
  • ANSWERS
  • Question 10

Simplify:

(y4)8

CORRECT ANSWER
y32
EDDIE SAYS
(y4)8 = y4 × y4 × y4 × y4 × y4 × y4 × y4 × y4 Add the indices.
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Similar activities you may like

Start your £1 trial today.
Subscribe from £10/month.