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Laws of Indices

Simplifying calculations by involving 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)


3234 = 36

(32)4 = 3 2  4 = 3 8

Related Topics

  • Mathematics

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

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