# 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)

32 34 = 36

(32)4 = 34 = 38

## Related Topics

• Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more

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