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# Index Numbers

### Consolidation

The Base number is the number that will be multiplied
The Index number tells us how many times it will multiply itself
Another name for 'Index' Power
The opposite of subtraction is Addition
The opposite of addition is Subtraction
The opposite of multiplication is Division
The opposite of division is Multiplication
When we multiply powers we add them
When we divide powers we subtract them
When there are powers outside a bracket we ( m^2) ^6 multiply the powers inside the bracket = m^12
What is 12^3? 12 x 12 x 12
What is 8 x 8 x 8 x 8? 8^4
In algebraic fractions do we simplify the numbers or the pronumerals first? eg 6x/3f numbers- eg 3 goes into both 6 and 3 so my answer is 2x/f
Simplify 20km/15lx- 5 goes into both 20 and 15 so my answer is 4km/3lx,
Simplify 15mn/18mk- 3 goes into both 15 and 18 making 5mn/6mk, then there's an m on the top & on the bottom so I subtract them= 5n/6k
Anything to the power of zero is 1
m^0 = 1
23g^0 = 23 ( 23 x 1)
4g= 4 times g
12ghm= 12 x g x h x m
24/6 = 24 divided by 6
Y/9 = Y divided by 9
6(m + 2) = 6m + 12
m ( 2 + 6) = 8m
f ( 2 +3) everything inside the brackets gets done first ... 2+3 =5, times f so my answer is 5f
3 ( f + 2) everything inside the brackets gets multiplied by the number outside the bracket ... 3f + 6
( d^3) ^5 = d ^15
(z^2)^4 = z ^8
brackets means times or multiply
( k^3/m^6) ^2 = k^6/m^12
( j^2/w ^5 ) ^4 = j^8/ w^20
(2m^3) ^ 2 = 2^2 times m^6 = 4m^6 ( 2 squared equals 4)
(2y^4) ^ 3 = 2^3 times y^12 = 8y^12 ( 2x2x2 = 8)
5 ( 2g + hm) = 10g + 5hm
Created by: nicolenixon

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