2
STEPENOVANJE a 0 =1 a n = 1 a n a n ∙a m =a n +m a n : a m =a nm ( a n ) m =a n∙m ( a∙b ) n =a n ∙b n ( a b ) n = a n b n ( a b ) n =( b a ) n ----------------- ------- STEPENOVANJE a 0 =1 a n = 1 a n a n ∙a m =a n +m a n : a m =a nm ( a n ) m =a n∙m ( a∙b ) n =a n ∙b n ( a b ) n = a n b n ( a b ) n =( b a ) n ----------------- ------ STEPENOVANJE a 0 =1 a n = 1 a n a n ∙a m =a n +m a n : a m =a nm ( a n ) m =a n∙m ( a∙b ) n =a n ∙b n ( a b ) n = a n b n ( a b ) n =( b a ) n KORENOVA NJE n ab= n a∙ n b n a b = n a n b n m a= n∙m a b n a= n ( b) n ∙a n a m =a m n ( n a) m = n a m n a n = { a,nneparno |a |,nparno KORENOVANJE n ab= n a∙ n b n a b = n a n b n m a= n∙m a b n a= n ( b) n ∙a n a m =a m n ( n a) m = n a m n a n = { a,nneparno |a |,nparno KORENOVANJE n ab= n a∙ n b n a b = n a n b n m a= n∙m a b n a= n ( b) n ∙a n a m =a m n ( n a) m = n a m n a n = { a,nneparno |a |,nparno

STEPENOVANJE i Korenovanje Osnovne Formule

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Page 1: STEPENOVANJE i Korenovanje Osnovne Formule

STEPENOVANJE

a0=1

a−n= 1

an

an ∙ am=an+m

an: am=an−m

(an)m=an ∙m

(a ∙b)n=an ∙ bn

( ab)n

=an

bn

( ab)−n

=( ba)n

------------------------STEPENOVANJE

a0=1

a−n= 1

an

an ∙ am=an+m

an: am=an−m

(an)m=an ∙ m

(a ∙b)n=an ∙ bn

( ab)n

=an

bn

( ab)−n

=( ba)n

-----------------------STEPENOVANJE

a0=1

a−n= 1

an

an ∙ am=an+m

an: am=an−m

(an)m=an ∙m

(a ∙b)n=an ∙ bn

( ab)n

=an

bn( ab)−n

=( ba)n

KORENOVANJE

n√ab=n√a ∙ n√b

n√ ab=n√an√b

n√m√a=n ∙ m√a

bn√a=n√(b)n ∙ a

n√am=amn

( n√a)m= n√am

n√an={a ,n−neparno|a|, n−parno

KORENOVANJE

n√ab=n√a ∙ n√b

n√ ab=n√an√b

n√m√a=n ∙ m√a

bn√a=n√(b)n ∙ a

n√am=amn

( n√a)m= n√am

n√an={a ,n−neparno|a|, n−parno

KORENOVANJE

n√ab=n√a ∙ n√b

n√ ab=n√an√b

n√m√a=n ∙ m√a

bn√a=n√(b)n ∙ a

n√am=amn

( n√a)m= n√am

n√an={a ,n−neparno|a|, n−parno

Page 2: STEPENOVANJE i Korenovanje Osnovne Formule

STEPENOVANJE

a0=1

a−n= 1

an

an ∙ am=an+m

an: am=an−m

(an)m=an ∙m

(a ∙b)n=an ∙ bn

( ab)n

=an

bn

( ab)−n

=( ba)n

------------------------STEPENOVANJE

a0=1

a−n= 1

an

an ∙ am=an+m

an: am=an−m

(an)m=an ∙ m

(a ∙b)n=an ∙ bn

( ab)n

=an

bn

( ab)−n

=( ba)n

-----------------------STEPENOVANJE

a0=1

a−n= 1

an

an ∙ am=an+m

an: am=an−m

(an)m=an ∙m

(a ∙b)n=an ∙ bn

( ab)n

=an

bn

( ab)−n

=( ba)n

KORENOVANJE

n√ab=n√a ∙ n√b

n√ ab=n√an√b

n√m√a=n ∙ m√a

bn√a=n√(b)n ∙ a

n√am=amn

( n√a)m= n√am

n√an={a ,n−neparno|a|, n−parno

KORENOVANJE

n√ab=n√a ∙ n√b

n√ ab=n√an√b

n√m√a=n ∙ m√a

bn√a=n√(b)n ∙ a

n√am=amn

( n√a)m= n√am

n√an={a ,n−neparno|a|, n−parno

KORENOVANJE

n√ab=n√a ∙ n√b

n√ ab=n√an√b

n√m√a=n ∙ m√a

bn√a=n√(b)n ∙ a

n√am=amn

( n√a)m= n√am

n√an={a ,n−neparno|a|, n−parno