propiedades basicas

2
Propiedad Ejemplo 1 Ejemplo 2 √ = √ = = () √3 6 3 =3 6 3 =3 2 =9 √3 βˆ’2 =3 βˆ’2 2 =3 βˆ’1 = 1 3 = 0.3333 √. = √(. ) = √ . √ √(βˆ’28) 2 4 = √(βˆ’16) 2 4 = (βˆ’16) 4 2 = (βˆ’16) 2 = 256 √(32X243) 5 3 = √32 3 5 X√243 3 5 =2 3 X3 3 = 8X27 = 216 ( √ Β± ) = , (√5 + 20 ) 3 = (√25 ) 3 =5 3 = 125 √(βˆ’3 + 2) 6 3 = √(βˆ’1) 6 3 = √1 3 = 1; (βˆšβˆ’3 + 2 ) 2 = (βˆšβˆ’1 ) 2 (Β°, ) √(βˆ’3 + 2) 2 = √(βˆ’1) 2 = √1 = 1; ( ) √ √ = √ . Γ“ √ √ = √ . √ √64 2 3 = √64 6 =2 √ √64 βˆ’2 3 = √64 βˆ’6 = (64) βˆ’1 6 = 1 (64) 1 6 = 1 √64 6 = 1 2 √ = √ √ √ 1 9 = √1 √9 = 1 3 √ ( βˆ’3 2 ) 2 = √(βˆ’3) 2 √(2) 2 =βˆ’ √9 √4 = 3 2 = 1.5 √1 =1 √1 7869786 =1 √1 5 =1 βˆšβˆ’ = βˆ’ βˆšβˆ’8 3 = βˆ’2 βˆšβˆ’27 3 = βˆ’3 βˆšβˆ’ = βˆšβˆ’16 4 = βˆšβˆ’4 = = . . …. 2 10 = 2222222222 = 1024 2 8 = 22222222 = 256 1 =1 1 8132 =1 βˆ’(1) 678 = βˆ’(1) = βˆ’1 ( ) = () () ( 4 3 ) 2 = (4) 2 (3) 2 = 16 9 = 1.777 (βˆ’ 5 2 ) 2 = (βˆ’5) 2 (2) 2 = 25 4 = 6.25 ( ) βˆ’ =( ) = () () ( βˆ’5 15 ) βˆ’2 = (βˆ’ 15 5 ) 2 = (βˆ’3) 2 =9 4 βˆ’ 1 2 =( 1 4 ) 1 2 = 1 √4 = 1 2 = 0.5 ( βˆ’6 13 ) βˆ’2 = (βˆ’ 13 6 ) 2 = (βˆ’13) 2 (6) 2 = 169 36 = 4.7 ( 1 9 ) βˆ’ 1 2 = (9) 1 2 = √9 =3 Β± = . Β± βˆ’3 + 4 5 = βˆ’35+4 5 = βˆ’11 5 = βˆ’2.2 5βˆ’ 21 3 = 53βˆ’21 3 = βˆ’6 3 = βˆ’2 βˆ’4 βˆ’ 2 6 = βˆ’46βˆ’2 6 = βˆ’26 6 = βˆ’13 3 = βˆ’4.33 = 3 4 5 6 = 15 24 = 5 8 βˆ’2 3 2 4 = βˆ’4 12 = 1 3 Γ· = 2 3 Γ· 4 5 = 25 34 = 15 12 = 5 4 = 1.25 βˆ’3 5 Γ· βˆ’2 3 = βˆ’33 5 βˆ’ 2 = βˆ’9 βˆ’10 = 9 10 = 0.9 ( ) = . (2 3 ) 2 =2 32 =2 6 = 64 (4 3 ) 1 2 =4 3 2 = √4 3 2 =2 3 =8 (( 3 4 ) 2 ) βˆ’3 =( 3 4 ) βˆ’6 =( 4 3 ) 6 (4) 6 (3) 6 = 4096 729 = 5.62 = βˆ’ 2 7 2 5 =2 7βˆ’5 =2 2 =4 4 3 4 5 =4 3βˆ’5 =4 βˆ’2 = 1 (4) 2 = 1 16 =0.0625 . = + 3 3 3 βˆ’2 =3 3βˆ’2 =3 1 =3 3 βˆ’1 3 βˆ’2 =3 βˆ’1βˆ’2 =3 βˆ’3 = (1) 3 (3) 3 = 1 27 2 4 8 2 =2 4 (2 3 ) 2 =2 4 2 6 =2 10 = 1024 βˆ’2 βˆ’5 2 2 = βˆ’(2) βˆ’5+2 = βˆ’(2) βˆ’3 =βˆ’ (1) 3 (2) 3 =βˆ’ 1 8 ( Β± ) 0 = 1 ; () 0 =1 [(23 + 10 3 ) Γ· 5 + 3] 0 =1 (6 βˆ’1 + 302) 0 βˆ’ 10 = 1 βˆ’ 10 = βˆ’9 (βˆ’) = (βˆ’10) 2 = 100 (βˆ’3) 2 =9 (βˆ’) = βˆ’ (βˆ’2) 3 = βˆ’8 (βˆ’3) 5 = βˆ’243 (βˆ’) βˆ’() βˆ’ (βˆ’2) 2 =4 βˆ’(2) 2 = βˆ’4 βˆ’ 2 2 = βˆ’ 4 (βˆ’2) βˆ’2 =( βˆ’1 2 ) 2 = 1 4 βˆ’(2) βˆ’2 =βˆ’( 1 2 ) 2 =βˆ’ 1 4 βˆ’ 2 βˆ’2 =βˆ’( 1 2 ) 2 =βˆ’ 1 4 { βˆ’ Γ· x βˆ’= + + Γ· x βˆ’ = βˆ’ } βˆ’3 βˆ’ 5 = 15 βˆ’6 3 = βˆ’18 βˆ’15 Γ· βˆ’5 = 3 βˆ’12 Γ· 6 = βˆ’2 { } βˆ’5 βˆ’ 5 = βˆ’10 10 + 15 = 25 βˆ’10 + 3 = βˆ’7 βˆ’11 + 11 = 0

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tabla basica algebraica

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  • Propiedad Ejemplo 1 Ejemplo 2

    = =

    = ()

    36 3 = 3

    63 = 32 = 9 32

    = 3

    22 = 31 =

    1

    3= 0.3333

    .

    = (. )

    =

    .

    (28)2 4 = (16)

    2 4 = (16)42 = (16)2 = 256 (32X243)5 3 = 323

    5 X2433

    5= 23X33 = 8X27 = 216

    ( ) =

    ,

    (5 + 20

    )3 = (25

    )3 = 53 = 125

    (3 + 2)6

    3= (1)6

    3= 1

    3 = 1;

    (3 + 2

    )2 = (1

    )2(, )

    (3 + 2)2 = (1)2 = 1 = 1; ( )

    =

    .

    = .

    64

    2

    3

    = 64 6

    = 2 64

    2

    3= 64

    6= (64)

    1

    6 =1

    (64)16

    =1

    64 6 =

    1

    2

    =

    1

    9

    =1

    9=

    1

    3 (

    3

    2)

    2

    =(3)2

    (2)2=

    9

    4=

    3

    2= 1.5

    1

    =1 17869786

    = 1

    15

    = 1

    = 83

    = 2

    273

    = 3

    =

    16 4

    =

    4

    =

    = . . .

    210 = 2222222222 = 1024 28 = 22222222 = 256

    1 = 1 18132 = 1 (1)678 = (1) = 1

    (

    )

    = ()

    () (

    4

    3)

    2

    = (4)2

    (3)2=

    16

    9= 1.777 (

    5

    2)

    2

    = (5)2

    (2)2=

    25

    4= 6.25

    (

    )

    = (

    )

    = ()

    ()

    (5

    15)

    2= (

    15

    5)

    2= (3)2 = 9

    4 1

    2 = (1

    4)

    1

    2 =1

    4 =

    1

    2= 0.5

    (6

    13)

    2= (

    13

    6)

    2=

    (13)2

    (6)2=

    169

    36= 4.7

    (1

    9)

    1

    2 = (9)1

    2 = 9 = 3

    =

    .

    3 +

    4

    5=

    35+4

    5=

    11

    5= 2.2

    5 21

    3=

    5321

    3=

    6

    3= 2

    4 2

    6=

    462

    6=

    26

    6=

    13

    3= 4.33

    =

    3

    4

    5

    6=

    15

    24=

    5

    8

    2

    3

    2

    4=

    4

    12=

    1

    3

    =

    2

    3

    4

    5=

    25

    34=

    15

    12=

    5

    4= 1.25

    3

    5

    2

    3=

    33

    5 2=

    9

    10=

    9

    10= 0.9

    ()

    = .

    (23)2 = 232 = 26 = 64

    (43)1

    2 = 43

    2 = 432

    = 23 = 8

    ((3

    4)

    2

    )

    3

    = (3

    4)

    6

    = (4

    3)

    6 (4)6

    (3)6=

    4096

    729= 5.62

    =

    27

    25= 275 = 22 = 4

    43

    45= 435 = 42 =

    1

    (4)2=

    1

    16=0.0625

    . = +

    3332 = 332 = 31 = 3

    3132 = 312 = 33 =(1)3

    (3)3=

    1

    27

    2482 = 24(23)2 = 2426 = 210 = 1024

    2522 = (2)5+2 = (2)3 = (1)3

    (2)3=

    1

    8

    ( ) 0 = 1 ; ()0 = 1

    [(23 + 103) 5 + 3]0 = 1

    (61 + 302)0 10 = 1 10 = 9

    () =

    (10)2 = 100

    (3)2 = 9

    () =

    (2)3 = 8

    (3)5 = 243

    () ()

    (2)2 = 4 (2)2 = 4

    22 = 4

    (2)2 = (1

    2)

    2=

    1

    4

    (2)2 = (1

    2)

    2=

    1

    4

    22 = (12)

    2=

    1

    4

    {

    x = ++

    x = } 3 5 = 15

    6 3 = 18 15 5 = 3 12 6 = 2

    {

    } 5 5 = 10

    10 + 15 = 25 10 + 3 = 7 11 + 11 = 0