Laws of Indices
Simplifying calculations by involving indices.
Multiplying two or numbers with the same base
x^{y} x^{z} = x^{y+z} (1)
Dividing numbers with the same base
x^{y} / x^{z} = x^{yz} (2)
Raising power
(x^{y})^{z} = x^{y z} (3)
Number with index 0
x^{0} = 1 (4)
Number raised with negative number
x^{y} = 1 / x^{y} (5)
1 / x^{y} = x^{y} (5b)
Number raised with a fractional number
x^{y/z} = (x^{y})^{1/z} (6)
Examples
3^{2} 3^{4} = 3^{6}
(3^{2})^{4} = 3^{2 4 }= 3^{8}^{}
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