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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:  

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

  • Question 1

Simplify:

(a3)2

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

Simplify:

(a3)3

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

Simplify:

(b3)2

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

Simplify:

(b4)2

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

Simplify:

(c2)4

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

Simplify:

(c2)5

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

Simplify:

(c3)5

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

Simplify:

(p3)7

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

Simplify:

(p2)9

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

Simplify:

(y4)8

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

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