Index Basics
Multiplying Indices
Power of a Power
Mixed Retrieval
100

In 43, what is the base?

4

100

Simplify 22×23

25

100

Simplify (32)2

34

100

Calculate 82

64

200

Expand 34 as repeated multiplication.

3x3x3x3

200

Simplify 53×52

55

200

Simplify (23)2

26

200

Calculate −7+12

5

300

Write 6×6×6×6 using index notation.

64

300

Simplify 72×74

76

300

Simplify (52)3

56

300

Find the HCF of 12 and 18.

6

400

True or false: 34=3×4

False

400

Simplify 43×42×4

46

400

Simplify (103)4

1012

400

A triangle has angles 48∘, 67∘ and x∘. Find x.

65∘

500

Explain the mistake: 23=6

2x2x2 = 8

500

Simplify 32×34×33

39

500

Simplify ((22)3)2

212

500

A quadrilateral has angles 90∘,85∘,110∘ and x∘. Find x.

75∘

600

Write 2×2×2×5×5 using index notation.

23×52

600

Simplify 62×63×64

69

600

Simplify (73)4

712

600

Two angles in a triangle are 38∘ and 79∘. Find the third angle.

63∘

700

Which is greater: 25 or 52? Show how you know.

25=32, 52=25, so 25 is greater

700

Find the missing index: 34×3?=311

7, because 4+7=11

700

Find the missing index: (53)?=512

4, because 3×4=12

700

Three angles in a quadrilateral are 72∘,108∘ and 95∘. Find the fourth angle.

85∘

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