# Mathematics C1 - Algebra and Functions 1

Key notes on part 1 of Core mathematics 1 (algebra and functions)

- Created by: Chris
- Created on: 04-05-11 16:56

First 139 words of the document:

Pure Mathematics Algebra and Functions 1

Indices

1) am x an = am+n Or 52x 53 = 55 = 3125

2) am÷ an = am-n Or 54÷52 = 52 = 25

3

3) (am)n = amn Or (52) = 56 = 15625

4) a-n = a

1

n Consider 7-3 = 1

73

1

= 343

1 1 3

5) a n = the nth root of a Consider 7 3 = 7

1 2

7 2 = 7 = 7

3 3

16 2 = (16) = 43 = 64

m 2

6) a n =

the nth root of a raised to the power m .

7) a0 = Consider 73÷73 = 73-3 = 70 = 1

1for any value of a which is not zero

Surds

Numbers like 2, 3, 11 are

called surds.

A surd is an irrational number which means that it cannot be written exactly as a decimal number or in

the form a b where a and b are integers.

The following rules apply: ab = a x b

a a

b = b

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