Indicies

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  • Created by: Jenny
  • Created on: 07-12-12 15:58

Indicies

You can perform operations on numbers that have been squared cubed or raised to higher powers. There are three rules to remember for multiplying, dividing, and the power of a power.

Multiplying

When multiplying add the powers.

23 × 24 = (2 × 2 × 2) × (2 × 2 × 2 × 2)

= 27

Dividing

When dividing subtract the powers.

25 ÷ 22 = 2 x 2 x 2 x 2 x 2 over 2 x 2 (http://www.bbc.co.uk/schools/gcsebitesize/maths/images/ma_subtract_powers.png) = 2 × 2 × 2 (Cancelling two of the 2s)

= 23

The power of a power

When taking the power of a number already raised to a power, multiply the powers.

For example this is how to find the square of 23.

square of 23 = (23)2 = (2 × 2 × 2) × (2 × 2 × 2) = 26

Notice that the answer has an index of 6, which comes from multiplying the powers at the beginning (3 x 2). Here is another example.

(22)4 = (2 × 2) × (2 × 2) x (2 × 2) × (2 × 2) = 28

So you see that in both examples the powers have been multiplied (3x2 and 2x4)

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