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

x⁰ = 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)

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Related Topics

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

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