Réponse :
Explications étape par étape
Bonjour
Puissances :
A = (49 x (-2)^5 x (-3)^(-2)) / (-7^3 x 16 x 3^(-3))
A = (7^2 x (-2)^5 x 3^(-2)) / (-7^3 x 2^4 x 3^(-3))
A = -(7^2 x 2^5 x 3^(-2)) / -(7^3 x 2^4 x 3^(-3))
A = 7^(2-3) x 2^(5-4) x 3^(-2+3)
A = 7^(-1) x 2^1 x 3^1
A = 7^(-1) x 2 x 3
A = 6/7
B = ((-5)^4 x 7^2 x (-2)^(-3)) / ((-4)^4 x (-1)^5 x 25)
B = (5^4 x 7^2 x -(2^(-3))) / ((2^2)^4 x -(1)^5 x 5^2)
B = -(5^4 x 7^2 x 2^(-3)) / -(2^(2x4) x 1^5 x 5^2)
B = 5^(4-2) x 7^2 x 2^(-3-8)
B = 5^2 x 7^2 x 2^(-11)
B = 25 x 49 x 1/2^11
B = 1225/2048
C = ((a^2b^4)^2/a^3)^(-3)
C = (a^(2x2)b^(4x2) / a^3)^(-3)
C = (a^4b^8 / a^3)^(-3)
C = (a^(4-3)b^8)^(-3)
C = (ab^8)^(-3)
C = a^(-3)b^(8x(-3))
C = a^(-3)b^(-24)
D = 0,0000000005 x 1004000000
D = 5 x 10^(-10) x 1,004 x 10^(-9)
D = 5 x 1,004 x 10^(-10-9)
D = 5,02 x 10^(-19)
E = 2^3/3^4 : 2^2/3^5
E = 2^3/3^4 x 3^5/2^2
E = 2^3/2^2 x 3^5/3^4
E = 2^(3-2) x 3^(5-4)
E = 2^1 x 3^1
E = 2 x 3
E = 6
F = (a^2b)^3 / [(-a)(-b)^2]
F = a^(2x3)b^3 / [(-a)b^2]
F = a^6/(-a) x b^3/b^2
F = -a^(6-1) x b^(3-2)
F = -a^5 x b^1
F = -a^5b
