Question

Calcule o valor das expressões a seguir a) (-2) ^3×(-1)^4-(-2)^3×5++(-1)^3×(-1)×(-5)^3 b) 2^-1+(1/2^-2)+120^0-(-2)^3 c) (-3/4)^2-[2,5+(-3-1/4):5/2-2^-3] d) (2/5)^0×(0,01)^2×(1/2)^-2 e) (-2/3)^2 +(-2/3)^-3×(-3)^-3

Answer 1

Explicação passo-a-passo:

a) (-2) ^3×(-1)^4-(-2)^3×5++(-1)^3×(-1)×(-5)^3

(-8) × 1 - (-8) × 5 + (-1) × (-1) × (-125)

- 8 - (-40) + 1 × (-125)

- 8 + 40 - 125

32 - 125

- 93

b) 2^-1+(1/2^-2)+120^0-(-2)^3

1/2 + (1/ 1/2²) + 1 - (- 8)

1/2 +(1/ 1/4) + 1 + 8

1/2 + (1×4/1) + 9

1/2 + 4 + 9

1/2 + 13

1+26/2

27/2

c) (-3/4)^2-[2,5+(-3-1/4):5/2-2^-3]

9/16 - [2,5 + (-12-1/4): 5/2 -1/2³]

9/16 - [2,5 + (-13/4):5/2 - 1/8]

9/16 - [2,5 + (- 13/4×2/5) - 1/8]

9/16 - [2,5 + (- 26/20) - 1/8]

9/16 - [2,5 + (-52 - 5/ 40)]

9/16 - [2,5 + (- 57/40)]

9/16 - [2,5 - 57/40]

9/16 - [100 - 57/40]

9/16 - [43/40]

45 - 43/80

2/80

d) (2/5)^0×(0,01)^2×(1/2)^-2

1 × 0,0001 × 1/ 1/2²

1 × 0,0001 × 1/ 1/4

1 × 0,0001 × 1×4/1

1 × 0,0001 × 4

0,0001 × 4

0,0004

e) (-2/3)^2 +(-2/3)^-3×(-3)^-3

4/9 + (1/ (-2/3)³) × 1/(-3)³

4/8 + (1/-8/27) × 1/-27

4/8 + 1×27/-8 × 1/-27

4/8 + 27/-8 × 1/-27

4/8 + 27/216

108 + 27/216

135/216