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Multiplication of Algebraic Terms with Powers (2)

In this worksheet, students must multiply more complicated algebraic terms.

'Multiplication of Algebraic Terms with Powers (2)' worksheet

Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about the multiplication of algebraic terms with powers.

 

Example

Simplify:

2a3b × 5a4b2

 

Answer

Remember what 2a3b and 5a4b2 means and multiply them.

We get:    

2 × a × a × a × b × 5 × a × a × a × a × b × b

 

Bring the numbers to the front and separate the letters to get:

2 × 5 × a × a × a × a × a × a × a × b × b × b

 

This gives us

10 × a × a × a × a × a × a × a × b × b × b

 

which simplifies to

10a7b3

 

 

Quick method

Simplify:

2a3b × 5a4b2

 

Answer

Multiply the numbers (2 × 5 = 10).

Add the indices of identical letters (for a: 3 + 4 = 7 and for b: 1 + 2 = 3).

Answer is 10a7b3.

Simplify:

2a3b × 3a4b3

6a7b4

5a7b

6a7b3

Simplify:

2a3b2 × 3a2b3

6a6b6

5a5b5

6a5b5

Simplify:

2a3b2 × a4b2

2a12b4

2a7b4

a12b4

Simplify:

2c3b4 × 4c4b5

6c12b20

8c7b9

c12b9

Simplify:

3c3b3 × 4c4b4

7c12b12

12c12b12

12c7b7

Simplify:

4p3q4 × 4p3q4

16p9q16

16p6q8

8p9q16

Simplify:

4p3q4 × 4p4q3

16p7q7

16p6q8

8p9q16

Simplify:

2p5r × 5p2r5

10p7r6

10p10r5

10p10r0

Simplify:

4p5q4 × 5p2q5

20p7q20

20p10q20

20p7q9

Simplify:

2p5r × 5p2r5

10p7r6

10p10r5

10p10r0

  • Question 1

Simplify:

2a3b × 3a4b3

CORRECT ANSWER
6a7b4
EDDIE SAYS
2 × 3 × a × a × a × a × a × a × a × b × b × b × b
  • Question 2

Simplify:

2a3b2 × 3a2b3

CORRECT ANSWER
6a5b5
EDDIE SAYS
2 × 3 × a × a × a × a × a × b × b × b × b × b
  • Question 3

Simplify:

2a3b2 × a4b2

CORRECT ANSWER
2a7b4
EDDIE SAYS
2 × a × a × a × a × a × a × a × b × b × b × b
  • Question 4

Simplify:

2c3b4 × 4c4b5

CORRECT ANSWER
8c7b9
EDDIE SAYS
2 × 4 × c × c × c × c × c × c × c × b × b × b × b × b × b × b × b × b
  • Question 5

Simplify:

3c3b3 × 4c4b4

CORRECT ANSWER
12c7b7
EDDIE SAYS
3 × 4 × c × c × c × c × c × c × c × b × b × b × b × b × b × b
  • Question 6

Simplify:

4p3q4 × 4p3q4

CORRECT ANSWER
16p6q8
EDDIE SAYS
4 × 4 × p × p × p × p × p × p × q × q × q × q × q × q × q × q
  • Question 7

Simplify:

4p3q4 × 4p4q3

CORRECT ANSWER
16p7q7
EDDIE SAYS
4 × 4 × p × p × p × p × p × p × p × q × q × q × q × q × q × q
  • Question 8

Simplify:

2p5r × 5p2r5

CORRECT ANSWER
10p7r6
EDDIE SAYS
2 × 5 × p × p × p × p × p × p × p × r × r × r × r × r × r
  • Question 9

Simplify:

4p5q4 × 5p2q5

CORRECT ANSWER
20p7q9
EDDIE SAYS
4 × 5 × p × p × p × p × p × p × p × q × q × q × q × q × q × q × q × q
  • Question 10

Simplify:

2p5r × 5p2r5

CORRECT ANSWER
10p7r6
EDDIE SAYS
2 × 5 × p × p × p × p × p × p × p × r × r × r × r × r × r
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