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)
