Réponse :
simplifier les écritures suivantes
B = ((5/12) x 9 + 1)/((7/6) x 9 - 1) ordre de priorité la x
= ((5/3x4) x 3 x 3 + 1)/(7/2 x 3) x 3 x 3 - 1)
= ((15/4) + 1)/((21/2) - 1)
= ((15/4) + 4/4)/(21/2) - 2/2)
= (19/4)/(19/2)
= 19 x 2/(19 x 4)
B = 1/2
C = 6⁷/(4⁵ x 9³)
= (2 x 3)⁷/((2 x 2)⁵ x (3 x 3)³)
= 2⁷ x 3⁷)/(2⁵ x 2⁵ x 3³ x 3³)
= 2² x 3⁴)/(2⁵ x 3³)
= 3/2³ = 3/8
C = 3/8
D = [10³ x (- 2)⁵ x 3² x 20⁻² x 2⁻³]/(6³ x 2⁴)
= [10³ x (- 2)⁵ x 3² x (2 x 10)⁻² x 2⁻³]/((2³x 3³) x 2⁴)
= [10³ x (- 2)⁵ x 3² x 2⁻² x 10⁻² x 2⁻³]/((2³x 3³) x 2⁴)
= (10 x (- 2)⁵ x 2⁻² x 2⁻³)/(3 x 2³ x 2⁴)
= (10 x (- 2)⁵ x 2⁻⁵)/(3 x 2⁷)
= (10 x (- 2)⁵ x 2⁻¹²)/3
= (10 x (- 1 x 2)⁵ x 2⁻¹²)/3
= (10 x (- 1)⁵ x 2⁵ x 2⁻¹²)/3
= (10 x (- 1) x 2⁻⁷)/3 = - 10/3 x 2⁷ = - 10/384 = - 5/192
D = - 5/192
E = 3√125 - 2√80 + √500
= 3√(25 x 5) - 2√(16 x 5) + √(100 x 5)
= 15√5 - 8√5 + 10√5
= 17√5
E = 17√5
F = 5√12 + 4√27 - 7√48
= 5√(4 x 3) + 4√(9 x 3) - 7√(16 x 3)
= 10√3 + 12√3 - 28√3
= - 6√3
Explications étape par étape
