Question

1.Calcule:
A)(3/2)^4
B) (-2)^5

2.Usando as propriedades, simplifique:
A) 5^2.5^7.5
B) 8^3:8^3
C) b^7.b^2.b.b^0
D) 3^7/3^7
E) (5/3)^2
F) (a.b)^5
G) (a^3)^4
H) (b^2)^-5

Answer 1

Resolvendo :
1) calcule :
A) (3/2)^4
=> 3/2 x 3/2 x 3/2 x 3/2
=>9/4 x 3/2 x 3/2
=> 27/8 x 3/2
=> 81/16

B) (-2)^5
=> -2 x -2 x -2 x -2 x ;2
=> 4 x -2 x -2 x -2
=> - 8 x -2 x -2
=> 32 x -2
=> -64

2) usando propiedade, simplifique :
A) 5^2 . 5^7 . 5
=> excuimos o numero 5
=> 2 . 7 . 1
=> 14 . 1
=> 14

B) 8^3 : 8^3
=> excluimos o numero 8
=> 3 : 3
=> 1

C) b^7 . b^2 . b . b^0
=> excuimos a letra b
=> 7 . 2 . 1 . 0
=> 14 . 1 . 0
=> 14 . 0
=> 0

D) 3^7/3^7
=> excluimos numero 3
=> 7/7
=> 1

E) (5/3)^2
=> 5/3 x 5/3
=> 25/9

F) (a.b)^5
=> a^5 . b^5

G) (a^3)^4
=> a^12

H) (b^2)^-5
=> b^-10