UNCORRECTEDSAMPLEPAGES

(Hint: It is over 1 billion and it is far easier to write this number as a power!)

• Why do computers frequently use base 2 (binary) numbers?

Key Ideas

■ Powers are used to help write expressions involving repeated multiplication in a simplified form using indices.

For example: 8 × 8 × 8 × 8 × 8 can be written as 85

■ When writing a basic numeral as a power, you need a base number and an index number. This is also known as writing an expression in index form.

■ a b reads as ‘a to the power of b’. In expanded form it would look like:

■ Powers take priority in the order of operations.

For example : 3 + 2 × 42 = 3 + 2 × 16

■ Note: 23 ≠ 2 × 3, therefore 23 ≠ 6

Instead: 23 = 2 × 2 × 2 = 8

1 Select the correct answer from the following alternatives.

means:

2 Select the correct answer from the following alternatives.

× 9 × 9 × 9 × 9 can be simplified to:

3 State the missing values in the table.