Indices

1
Indices

• Learning objective
• To understand the basic rules of indices - all
• To investigate powers of 0 and 1 - most
• To investigate negative powers - some

You will require a scientific calculator and a
pen.
2
Investigation
2²x 24 2
3 x 3³ 3
5² x 5³ 5
45 x 4² 4
3³ x 33 3
4³ 4 4
2³ 2² 2
3³ 3³ 3
45 4³ 4
78 7³ 7
(2³)² 2
3
Rules of indices

• Multiplication
• xa x b
• x(a b)
• Division
• xa xb
• x(a-b)
• Powers
• (xa)b
• x(ab)

4
Exercise

• 3³ x 34
• 2) 7103 7101
• 3) (8³)²
• 4) (2³ 2²)5

5
Further investigation

• What is x0?
• What is x1?
• Where x can be any number.
• What is the effect of negative powers?

6
Further investigation