02.28.2017. Tuesday
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 Algebra
Polynomials
⦿ Special Binomials
Progressions
⦿ Arithmetic progression
⦿  Geometric progression
Logarithm
⦿ Logarithm
⦿ Changing the base of a logarithm
Exponents
⦿ Powers
Roots
⦿ Roots
Equations
⦿ Quadratic equation
Complex numbers
⦿ Roots of complex numbers


Exponents

Powers

Definition of power:

a n = a · a · a · a · a · a

n time

Properties of Exponents:

a n · a m = a n + m
a n a m = a n m
( a n ) m = a n · m

Power with the same exponent :

a n · b n = ( a · b ) n
a n b n = ( a b ) n

Important identities:

a 0 = 1
a n = 1 a n
( a b ) n = ( b a ) n