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  1. Maths
  2. Year 9
  3. Powers and Roots
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Dividing Indices

In this worksheet, students divide numbers expressed using indices.

'Dividing Indices' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Understand Integer Powers/Real Roots

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

An index is sometimes called a power or an exponent.  

In 54, the 4 is the index and the 5 is the base.

54 is read as "5 to the power 4" or "5 to the 4" and means 5 x 5 x 5 x 5.

 

Dividing numbers

When we divide numbers with the same base number, we can just subtract the indices.

57 ÷ 53 = 54

 

This is because, when we divide we can cancel a 5 on the top with a 5 on the bottom, leaving four 5s on the top.

 

 

 

Simplify:

57 ÷ 55

52

252

12

Simplify:

48 ÷ 44

42

12

44

Simplify:

35 ÷ 34

39

31.25

3

Simplify:

34 ÷ 32

32

36

38

Simplify:

55 ÷ 53

52

258

58

Simplify:

35 ÷ 31

96

34

35

Simplify:

55 ÷ 55

51

0

1

Simplify:

34 ÷ 34

344

31

30

Simplify:

408 ÷ 404

2

402

404

Simplify:

64 ÷ 60

64

640

60

  • ANSWERS
  • Question 1

Simplify:

57 ÷ 55

CORRECT ANSWER
52
  • ANSWERS
  • Question 2

Simplify:

48 ÷ 44

CORRECT ANSWER
44
  • ANSWERS
  • Question 3

Simplify:

35 ÷ 34

CORRECT ANSWER
3
  • ANSWERS
  • Question 4

Simplify:

34 ÷ 32

CORRECT ANSWER
32
  • ANSWERS
  • Question 5

Simplify:

55 ÷ 53

CORRECT ANSWER
52
  • ANSWERS
  • Question 6

Simplify:

35 ÷ 31

CORRECT ANSWER
34
  • ANSWERS
  • Question 7

Simplify:

55 ÷ 55

CORRECT ANSWER
1
  • ANSWERS
  • Question 8

Simplify:

34 ÷ 34

CORRECT ANSWER
30
EDDIE SAYS
This shows that 30 = 1
  • ANSWERS
  • Question 9

Simplify:

408 ÷ 404

CORRECT ANSWER
404
  • ANSWERS
  • Question 10

Simplify:

64 ÷ 60

CORRECT ANSWER
64
EDDIE SAYS
This suggests that 60 = 1
---- OR ----

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