Formulas and properties of exponents.
DefinitionWhen n is a positive integer, the number c is called the n power of the number a if
|c = an =||a · a · ... · a|
Formulas and properties of exponents are used in the reduction and simplification of expressions, and in solving equations and inequalities.
|1.||a0 = 1 (a ≠ 0)||- zero exponent property|
|2.||a1 = a||- any number raised by the exponent 1 is the number itself|
|3.||an · am = an + m||- product of powers property|
|4.||(an)m = anm||- power of a power property|
|5.||anbn = (ab)n||- power of a product property|
|6.||a-n = ||- negative exponent property|
|7.||- quotient of powers property|
|8.||a1/n = n√a||- rational exponent property|
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