Bonjour je vous envoie les exercices séparément comme vous me l'avez demandé.

Réponse :

Bonjour

Explications étape par étape

1)

A = 4 - 4 ÷ 16/3

A = 4 - 4 × 3/16

A = 4 - (4×3/4×4)

A = 4 - 3/4

A = 16/4 - 3/4

A = 13/4

B = (2/3+1/6) ÷ (1/2 - 2)

B = ( 4/6 + 1/6) ÷ (1/2 - 4/2)

B = 5/6 ÷ (-3/2)

B = 5/6 × (-2/3)

B = 5×(-2) / 3×2×3

B = -5/9

C = 7/5 - 3/5 × 4/21

C = 7/5 - (3×4/5×7×3)

C = 7/5 - 4/35

C = 49/35 - 4/35

C = 45/35

C = 9×5/7×5

C = 9/7

2)

D = 1 + (-2)^3 - (-3)^2

D = 1 + ((-2)×(-2)×(-2)) - ((-3)×(-3))

D = 1 + (-8) - (9)

D = 1 - 8 - 9

D = -16

Réponse :

Explications étape par étape

Bjr,

4- 4/ 16/13 =

4- (4*13/ 16) =

4 - 52/16 =

4- 13/4=

16/4 - 13/4 = 3/4

(2/3 +1/6) / (1/2-2)

(2/3 +1/6)= 4/6 +1/6 = 5/6

(1/2-2) = 1/2 - 4/2 = -3/2

5/6 / -3/2 =

(5*2)/(6*-3) = 10/-18 = 5/-9 =  -(5/9)

7/5 -3/5(4/21) =

3/5(4/21) = (3*21)/ (5*4) = 63/20

7/5 -63/20 = 28/60 -63/20 =  -35/20 = -7/4

☺