bonjour pouvez vous m'aidez pour cette exercice ​

Réponse :

Explications étape par étape

Bonjour

Simplifier :

M = [1 - ((2 + a)/a)^(-1)]^(-1)

M = [1 - a/(2 + a)]^(-1)

M = [(2 + a - a)/(2 + a)]^(-1)

M = [2/(2 + a)]^(-1)

M = (2 + a)/2

A = 2018^0 - (-1)^2017 - (4/3)^(-2)

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

A = 1 + 1 - 9/16

A = 2 - 9/16

A = 32/16 - 9/16

A = 23/16

T = [2^(-1) + 6^(-1)]/[9^(-1) - 3^(-1)]

T = (1/2 + 1/6) / (1/9 - 1/3)

T = (3/6 + 1/6) / (1/9 - 3/9)

T = 4/6 / (-2/9)

T = 4/6 x -9/2

T = 4/2 x -9/6

T = (2 x 2)/2 x (-3 x 3)/(3 x 2)

T = 2 x -3/2

T = 2/2 x -3

T = -3

H = [5^(-2) x (2/5)^(-4) x (5/4)^2] / [-10 x 5^(-4)]

H = [5^(-2) x (5/2)^4 x (5/4)^2] / (-2 x 5 x 5^(-4))

H = (5^(-2+4+2) x 2^(-4+2)] / (-2 x 5^(1-4))

H = 5^4 x 2^(-2) / (-2 x 5^(-3))

H = 5^(4+3) / [2^2 x (-2)]

H = 5^7 / (-2^(2+1))

H = 5^7 / (-2)^3

H = - 5^7 x 2^(-3)