Laws of Indices
Simplifying calculations by involving indices.
Multiplying two or numbers with the same base
xy xz = xy+z (1)
Dividing numbers with the same base
xy / xz = xy-z (2)
Raising power
(xy)z = xy z (3)
Number with index 0
x0 = 1 (4)
Number raised with negative number
x-y = 1 / xy (5)
1 / x-y = xy (5b)
Number raised with a fractional number
xy/z = (xy)1/z (6)
Examples
32 34 = 36
(32)4 = 32 4 = 38