Resumen Nº Reales
1
Profesor: Nelson Díaz D. 2009 RESUMEN PARA RECORDAR Y REPASAR Propiedades de Z Propiedades Q 1) 0 a a +- = 1) a c ad bd b d = ⇔ = 2) 0 a a + = 2) a c a c a c ac b d b d b d bd ⋅ = = = 3) a b a b - = +- 3) a c a d ad b d b c bc ÷ = ⋅ = 4) ( ) a a -- = 4) a ad b c bc d = 5) ( ) a b b a - =- - 5) a a a b b b - = =- - 6) 0 0 a ⋅ = 6) a a b b - = - 7) ( ) ( ) ( ) a b a b ab - = - =- 7) a c ad bc b d bd ± ± = 8) ( ) ( ) a b ab - - = 9) 1 1 a a a = = POTENCIAS RAICES 1) n m n m a a a + ⋅ = 1) ; 0 n Si n es par a a Si n es impar a IR ≥ = ∈ 2) n m n m a a a + = ⋅ 2) ( ) n n a a = 3) : n m n m a a a - = 3) n n n ab a b ⋅ = ⋅ 4) : n m n m a a a - = 4) n n n a b ab ⋅ = 5) ( ) n n n ab a b = ⋅ 5) n n n a a b b = 6) ( ) n n n a b ab ⋅ = 6) nm nm a a ⋅ = 7) ( ) ( ) m n n m a a = 7) ( ) m n m n a a = 8) ( ) m n nm a a ⋅ = 8) m n m n a a = 9) 1 ; 0 n n a a a - = ≠ 9) nm m n n m a b ab ⋅ = 10) ;, 0 n n a b ab b a - = ≠ 10) kn n km m a a = 11) 0 1; 0 a a = ≠ 11) n m k n m k a a = 12) 0; 0 o α α = ≠ 13) 1 1 α = 14) ( ) 2 2 0; 0 n n Si a a a ≤ = ≥ 15) ( ) 2 1 2 1 0; 0 n n Si a a a - - ≤ = ≤
Transcript of Resumen Nº Reales
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Profesor: Nelson Daz D.
2009
RESUMEN PARA RECORDAR Y REPASAR
Propiedades de Z Propiedades Q
1) 0a a+ = 1) a c
ad bdb d
= =
2) 0a a+ = 2) a c a c a c ac
b d b d b d bd
= = =
3) a b a b = + 3) a c a d ad
b d b c bc = =
4) ( )a a = 4) a
adbc bc
d
=
5) ( )a b b a = 5) a a ab b b
= =
6) 0 0a = 6) a a
b b
=
7) ( )( ) ( )a b a b ab = = 7) a c ad bcb d bd
=
8) ( )( )a b ab = 9) 1 1a a a= =
POTENCIAS RAICES
1) n m n ma a a + = 1) ; 0
nSi nes par a
aSi nes impar a IR
=
2) n m n ma a a+ = 2) ( )nn a a= 3) :n m n ma a a = 3) n n na b a b =
4) :n m n ma a a = 4) n n na b ab =
5) ( )n n nab a b= 5) nnn
a a
b b=
6) ( )nn na b ab = 6) n m n ma a= 7) ( ) ( )m nn ma a= 7) ( )mn m na a= 8) ( )mn n ma a = 8) m n mna a= 9)
1; 0n
na a
a
= 9) n m m nn ma b a b=
10) ; , 0
n na b
a bb a
=
10)
kn nkm ma a=
11) 0 1; 0a a= 11)
nm
kn mka a=
12) 0; 0o =
13) 1 1 =
14) ( )2 20; 0n nSi a a a = 15) ( )2 1 2 10; 0n nSi a a a =
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