# Division of Algebraic Terms with Powers (2)

In this worksheet, students divide algebraic terms giving their answers as a single fraction.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:

### QUESTION 1 of 10

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

Example

Simplify:

 10a2 15a3

Remember what 10a2 and 15a3 mean and divide them.

We get:

 10 x a x a 15 x a x a x a

Each a from the top of the fraction will cancel out with an a from the bottom.

This gives us

 10 15a

which reduces by dividing top and bottom by 5 to

 2 3a

Remember that we can use other letters than a when we write algebraic terms - and that these have to be alike to cancel each other out.

Simplify:

 10a3 15a2

 1. a 2. a 3. 2a 5a 3 3

1.

2.

3.

Simplify:

 15b3 10b

 1 b 2. 3b2 3. 5b 5 2 3

1.

2.

3.

Simplify:

 15b 10c

 1. b 2. 3b 3. 5b 5c 2c c

1.

2.

3.

Simplify:

 15b 20b

 1 3 2. 1 3. 5b 4 5b 1

1.

2.

3.

Simplify:

 15b2 25b

 1 3b 2. 3b 3. 5b 4 5 1

1.

2.

3.

Simplify:

 15b2 30b4

 1 b2 2. b2 3. 1 4 15 2b2

1.

2.

3.

Simplify:

 16b2 30b4

 1 8b2 2. 8 3. 1 15 15b2 2b2

1.

2.

3.

Simplify:

 16g4 6g3

 1 8g 2. 8 3. 10 3 3g g

1.

2.

3.

Simplify:

 6p6 9p3

 1 2p 2. 2 3. 2p3 3 3p3 3

1.

2.

3.

Simplify:

 6p6 4p8

 1 2p 2. 3 3. 2p2 3 2p2 3

1.

2.

3.

• Question 1

Simplify:

 10a3 15a2

 1. a 2. a 3. 2a 5a 3 3

3.
• Question 2

Simplify:

 15b3 10b

 1 b 2. 3b2 3. 5b 5 2 3

2.
• Question 3

Simplify:

 15b 10c

 1. b 2. 3b 3. 5b 5c 2c c

2.
EDDIE SAYS
This one can be tricky, but remember that the letters have to be the same to cancel each other out.
• Question 4

Simplify:

 15b 20b

 1 3 2. 1 3. 5b 4 5b 1

1.
• Question 5

Simplify:

 15b2 25b

 1 3b 2. 3b 3. 5b 4 5 1

2.
• Question 6

Simplify:

 15b2 30b4

 1 b2 2. b2 3. 1 4 15 2b2

3.
• Question 7

Simplify:

 16b2 30b4

 1 8b2 2. 8 3. 1 15 15b2 2b2

2.
• Question 8

Simplify:

 16g4 6g3

 1 8g 2. 8 3. 10 3 3g g

1.
• Question 9

Simplify:

 6p6 9p3

 1 2p 2. 2 3. 2p3 3 3p3 3

3.
• Question 10

Simplify:

 6p6 4p8

 1 2p 2. 3 3. 2p2 3 2p2 3

2.
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