Formulas and properties of exponents.
Definition
When n is a positive integer, the number c is called the n power of the number a if
c = a^{n} = 
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.  a^{0} = 1 (a ≠ 0)   zero exponent property 
2.  a^{1} = a   any number raised by the exponent 1 is the number itself 
3.  a^{n} · a^{m} = a^{n +
m}   product of powers property 
4.  (a^{n})^{m} = a^{nm}   power of a power property 
5.  a^{n}b^{n} = (ab)^{n}   power of a product property 
6.  a^{n} = 1a^{n}   negative exponent property 
7.  a^{n}a^{m} = a^{n  m}
  quotient of powers property 
8.  a^{1/n} = ^{n}√a   rational exponent property 
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