# Multiplying Indices

In this worksheet, children must multiply numbers expressed using indices.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:

### 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.

Multiplying numbers

When we multiply numbers with the same base number, we can just add the indices.

54 x 53 = 57

This is because 5 x 5 x 5 x 5 x 5 x 5 x 5 = 57

Simplify:

34 x 32

38

36

32

Simplify:

34 x 34

38

316

344

Simplify:

35 x 34

320

39

920

Simplify:

35 x 31

35

36

96

Simplify:

55 x 53

108

258

58

Simplify:

55 x 55

510

2510

525

Simplify:

554 x 55

5270

2559

559

Simplify:

44 x 48

412

432

812

Simplify:

404 x 408

8012

4032

4012

Simplify:

64 x 60

60

64

640

• Question 1

Simplify:

34 x 32

36
• Question 2

Simplify:

34 x 34

38
• Question 3

Simplify:

35 x 34

39
• Question 4

Simplify:

35 x 31

36
• Question 5

Simplify:

55 x 53

58
• Question 6

Simplify:

55 x 55

510
• Question 7

Simplify:

554 x 55

559
• Question 8

Simplify:

44 x 48

412
• Question 9

Simplify:

404 x 408

4012
• Question 10

Simplify:

64 x 60

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

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