Formulas and properties of exponents

When n is a positive integer, the number c is called the n power of the number a if

c = an =	a · a · ... · a
	n

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 = 1an	- negative exponent property
7.	anam = an - m	- quotient of powers property
8.	a1/n = n√a	- rational exponent property