# Indices Learning objective: To understand the basic rules of indices - all To investigate powers of 0 and 1 - most To investigate negative powers - some.

## Presentation on theme: "Indices Learning objective: To understand the basic rules of indices - all To investigate powers of 0 and 1 - most To investigate negative powers - some."— Presentation transcript:

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.

Investigation 2²x 2 4 ==2^ 3 x 3³==3^ 5² x 5³==5^ 4 5 x 4²==4^4^ 3³ x 3 3 ==3^3^ 4³÷ 4==4^4^ 2³÷ 2²==2^ 3³÷ 3³==3^3^ 4 5 ÷ 4³==4^ 7 8 ÷ 7³==7^ (2³)²==2^

Rules of indices Multiplication x a * x b = x (a + b) Division x a ÷ x b = x (a-b) Powers (x a ) b = x (ab)

Exercise 1)3³ x 3 4 = 2) 7 103 ÷ 7 101 = 3) (8³)² = 4) (2³ ÷ 2²) 5 =

Further investigation What is x 0 ? What is x 1 ? Where x can be any number. What is the effect of negative powers?

Further investigation

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