Exponents

Powers

Keywords: 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