Question

1) Aplique as propriedades de potência:
A) 7^12×7^18 7^2=
B) 9^9×9^15×9^20=
C) 7^28:7^2=
D) 4^8:4^4=
E) (18^2) ^3=
F) (63^8) ^9=
G) (53^3×79^2)^8=

2) Determine a raiz quadrada de:
A) 81
B) 36
C) 121
D) 256
E) 49
F) 225​

Answer 1

Resposta:

Explicação passo a passo:

1) Aplique as propriedades de potência:

A) 7^12 . 7^18 . 7^2=

= 7^(12+18+2)

= 7^32

B) 9^9×9^15×9^20=

= 9^(9+15+20)

= 9^(44)

____________

C) 7^28:7^2=

= 7^(28-2)

= 7^26

______________

D) 4^8:4^4=

= 4^(8-4)

= 4^4

________________

E) (18^2) ^3

= 12^(2.3)

= 12^6

___________

F) (63^8) ^9

= 63^(8.9)

= 63^72

_______________

G) (53^3×79^2)^8=

= (53^3)^8 . (79^2)^8

= 53^24 . 79^16

_________

2) Determine a raiz quadrada de:

A) 81

81:3

27: 3

9: 3

3: 3

1

= 3^4

= 3^2 . 3^2

= \/9 . \/9

= 9

\/81 = 9

R.: 9

____________

B) 36

36: 2

18: 2

9: 3

3: 3

1

= 2^2 . 3^2

= \/4 . \/9

= 2.3

= 6

= \/36

= 6

R.: 6

________

C) 121

\/121 = 11

121: 11

11: 11

1

= 11^2

R.: 11

________

D) 256

256: 2

128: 2

64: 2

32: 2

16: 2

8: 2

4: 2

2: 2

1

= 2^8

= 2^4 . 2^4

= \/16 . \/16

= 16

= \/256

= 16

R.: 16

__________

E) 49

\/49= 7

49: 7

7: 7

1

= 7^2

= \/7.\/7

= 7

R.: 7

__________

F) 225​

\/225= 15

225: 3

75: 3

25: 5

5: 5

1

=3^2.5^2

= \/9.\/25

= 3.5

= 15

R.: 15