Réponse :

Explications étape par étape

Bonsoir

Écrire sous la forme : (2^n x 3^m)/(5^p x 7^q)

A = 15/49 x 32/25 x 24

A = (3 x 5)/(7 x 7) x 2^5/5^2 x 2^3 x 3

A = [2^(5+3) x 3^(1+1)]/[5^(-1+2) x 7^2]

A = (2^8 x 3^2)/(5^1 x 7^2)

B = (36 x (3 x 14)^2)/(35 x 7^3 x 12)

B = (3^2 x 2^2 x 3^2 x 2^2 x 7^2)/(7 x 5 x 7^3 x 2^2 x 3)

B = (2^(2+2-2) x 3^(2+2-1))/(5^1 x 7^(-2+1+3))

B = (2^2 x 3^3)/(5^1 x 7^2)

C = 12^4/100 x 6^5/49 x 21/48

C = (2^2)^4 x 3^4 / (2 x 2 x 5 x 5) x 6^5/(7^2) x (3 x 7)/(2^4 x 3)

C = 2^8 x 3^4 / (2^2 x 5^2) x (2^5 x 3^5)/7^2 x 7/2^4

C = 2^(8-2-4+5) x 3^(4+5) / (5^2 x 7^(2-1))

C = (2^7 x 3^9) / (5^2 x 7^1)