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)

Examples

3 2 3 4 = 3 6

(3 2 ) 4 = 3 2  4 = 3 8

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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.

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