Laws of 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 y-z (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
3234 = 36
(32)4 = 3 2 4 = 3 8
Related Topics
• Mathematics
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents
Algebraic Expressions
Principal algebraic expressions formulas.
Decimal System Prefixes
Prefix names used for multiples and submultiples units.
Fractions
Law of fractions
Logarithms
The rules of logarithms - log10 and loge for numbers ranging 1 to 1000.
Oblique Triangle
Calculate oblique triangles.
SI System
An introduction to the SI metric system.
Trigonometric Functions
Sine, cosine and tangent - the natural trigonometric functions.