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Multiplication of Algebraic Terms with Powers (1)

In this worksheet, students must multiply algebraic terms.

'Multiplication of Algebraic Terms with 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 the multiplication of algebraic terms with powers.

 

Example

Simplify:

2a3 × 5a4

 

Answer

Remember what 2a3 and 5a4 mean and multiply them.

We get:    

2 × a × a × a × 5 × a × a × a × a

 

Bring the numbers to the front to get:

2 × 5 × a × a × a × a × a × a × a

 

This gives us

10 × a × a × a × a × a × a × a

 

which simplifies to

10a7

 

 

Quick method

Simplify:

2a3 × 5a4

 

Answer

Multiply the numbers (2 × 5 = 10).

Add the indices of identical letters (3 + 4 = 7).

Answer is 10a7.

Simplify:

2a3 × 3a4

6a12

5a7

6a7

Simplify:

2a3 × 3a2

6a5

5a6

6a6

Simplify:

2b3 × 2b3

6b33

4b9

4b6

Simplify:

5b3 × 2b3

10b6

10b9

7b6

Simplify:

5c3 × 4c4

20c12

20c7

9c12

Simplify:

5c3 × 3c

15c4

8c4

15c3

Simplify:

2a6 × 4a4

6a10

8a10

8a24

Simplify:

7b7 × 3b3

21b21

10b21

21b10

Simplify:

4c4 × 4c4

16c8

8c8

16c16

Simplify:

4d4 × d6

4d24

4d10

d10

  • Question 1

Simplify:

2a3 × 3a4

CORRECT ANSWER
6a7
EDDIE SAYS
2 × 3 × a × a × a × a × a × a × a
  • Question 2

Simplify:

2a3 × 3a2

CORRECT ANSWER
6a5
EDDIE SAYS
2 × 3 × a × a × a × a × a
  • Question 3

Simplify:

2b3 × 2b3

CORRECT ANSWER
4b6
EDDIE SAYS
2 × 2 × b × b × b × b × b × b
  • Question 4

Simplify:

5b3 × 2b3

CORRECT ANSWER
10b6
EDDIE SAYS
5 × 2 × b × b × b × b × b × b
  • Question 5

Simplify:

5c3 × 4c4

CORRECT ANSWER
20c7
EDDIE SAYS
5 × 4 × c × c × c × c × c × c × c
  • Question 6

Simplify:

5c3 × 3c

CORRECT ANSWER
15c4
EDDIE SAYS
5 × 3 × c × c × c × c
  • Question 7

Simplify:

2a6 × 4a4

CORRECT ANSWER
8a10
EDDIE SAYS
2 × 4 × a × a × a × a × a × a × a × a × a × a
  • Question 8

Simplify:

7b7 × 3b3

CORRECT ANSWER
21b10
EDDIE SAYS
7 × 3 × b × b × b × b × b × b × b × b × b × b
  • Question 9

Simplify:

4c4 × 4c4

CORRECT ANSWER
16c8
EDDIE SAYS
4 × 4 × c × c × c × c × c × c × c × c
  • Question 10

Simplify:

4d4 × d6

CORRECT ANSWER
4d10
EDDIE SAYS
4 × d × d × d × d × d × d × d × d × d × d
---- OR ----

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