Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

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Laws of Indices

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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)


3234 = 36

(32)4 = 3 2  4 = 3 8

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Related Topics


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.


Law of fractions


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.

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