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

This is an AMP page - Open full page! for all features.

• the most efficient way to navigate the Engineering ToolBox!

# 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

3 2 3 4 = 3 6

(3 2 ) 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.

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.

## Search Engineering ToolBox

• the most efficient way to navigate the Engineering ToolBox!

## SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!