# Laws of Indices

The 8 laws of indices, with examples.

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- Created by: Shannon Tennant-Smith - Team GR
- Created on: 09-11-13 21:25

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- Laws of Indices
- x^a/b = 'the b root' of x^a
- x^3/2 = the square root of x^3

- (x^a)^b = x^ab
- (x^4)^3 = x^12

- x^1/a = 'the a root' of x
- x^1/3 = the cube root of x

- x^a/x^b = x^a-b
- x^6/x^2 = x^4

- x^1 = x
- 3^1 =3 12^1 = 12 2357^1 = 2357

- x^0 = 1
- 4^0 =1 2^0 = 1 1754^0 = 1

- x^-a = 1/x^a
- x^-2 = 1/x^2

- x^a(x^b) = x^a+b
- x^2(x^4) = x^6

- x^a/b = 'the b root' of x^a

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