Question

1) Calcule os seguintes quocientes:

a) 2/3 : 3/4

b) 5/4 : 2/7

c) 3/7 : 1/2

d) 5/9 : 2

e) 3/4 : 3/5

f) 2/9 : 2/7

g) 64/27 : 128/81

h) 14/3 : ²1/3

i) 81/5 : 27/25

2) Qual o valor das expressões abaixo:

a) 0,8 - (2/5)² x 3 : (¹1/3)

b) 2 : (1/5 + 2/5)

3) Calcule as potências:

a) (2/3)⁴

b) (-1/3)³

c) (-0,2)²

d) (-3/6)³

e) (-1/4)5

f) 0¹

g) (-3/8)0

4) Reduza a uma só potência:

a) (2/3)5 • (-2/3)²

b) (-1/2)⁴ • (1/2)² • (1/2)

c) (2,1)6 : (2,1)⁴

d) (-2,4)⁴ : (-2,4)

e) [(0,3)²]³

f) [(2/7)2]³

Answer 1

1) Calcule os seguintes quocientes:

a) 2/3 : 3/4 =2/3×4/3=8/9

b) 5/4 : 2/7 =5/4×7/2=35/6

c) 3/7 : 1/2 =3/7×2/1=6/7

d) 5/9 : 2 =5/9×1/2=5/18

e) 3/4 : 3/5 =3/4×5/3=15/12=5/4

f) 2/9 : 2/7 =2/9×7/2=14/18=7/9

g) 64/27 : 128/81 =64/27×81/128=
5184/3456=1728/1152=192/128

h) 14/3:(1/3)^2=14/3×9/1=126/3=42

i) 81/5 : 27/25 = 81/5×25/27=
2025/135=405/27=15

2) Qual o valor das expressões abaixo:

a) 0,8 - (2/5)² x 3 : (¹1/3)
0,8-4/25×3×3/1
0,8-36/25=0,8-1,44= -0,64

b) 2 : (1/5 + 2/5) =2×5/3=10/3

3) Calcule as potências:

a) (2/3)⁴ = 16/81

b) (-1/3)³ = -1/27

c) (-0,2)² = 0,04

d) (-3/6)³ = -27/216= -1/8

e) (-1/4)5 = -1/1024

f) 0¹ = 0

g) (-3/8)0 = 1

4) Reduza a uma só potência:

a) (2/3)5 • (-2/3)² = (-2/3)^7

b) (-1/2)⁴ • (1/2)² • (1/2) = (-1/2)^7

c) (2,1)6 : (2,1)⁴ = (2,1)^2

d) (-2,4)⁴ : (-2,4) = (2,4)^3

e) [(0,3)²]³ = (3/10)^6

f) [(2/7)2]³ = (2/7)^6