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Réponse :

Explications étape par étape

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Calculer Et Simplifier :

A = -2/3 + 2/3 x 5/7 x (1 - 21/2)

A = -2/3 + 10/21 x (2/2 - 21/2)

A = -2/3 + 10/21 x (-19/2)

A = -2/3 - 10/2 x 19/21

A = -2/3 - 5 x 19/21

A = -14/21 - 95/21

A = -109/21

B = (3/2 - 1/7) / [4/5 - 5/2(4/3 - (-1/2))]

B = (21/14 - 2/14) / (4/5 - 5/2(8/6 + 3/6))

B = (19/14) / (4/5 - 5/2 x 11/6)

B = (19/14) / (48/60 - 55/12)

B = (19/14) / (-7/12)

B = 19/14 x -12/7

B = -12/14 x 19/7

B = -6/7 x 19/7

B = -114/49

C = (3/4)^(-4) x (2 x 3^(-1))^(-4)

C = 4^4/3^4 x 2^(-4) x 3^(4)

C = (2^2)^4 x 2^(-4)

C = 2^8 x 2^(-4)

C = 2^(8-4)

C = 2^4

D = (2/3)^(-2) + [(1/3)^(-1) + (1/2)^(-2)]^(-1)

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

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

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

D = 3^1 + 2^(-4)

D = 3 + 2^(-4)

D = 3 + 1/(2^4)

D = 3 + 1/16

D = 48/16 + 1/16

D = 49/16

D = 7^2/4^2

D = (7/4)^2