Réponse :
Explications étape par étape
Bonjour
Écrire sous forme d’une puissance d’un seul nombre :
À = (8^5 x 12^9)/(8^2 x 12^6)
A = 8^(5-2) x 12^(9-6)
A = 8^3 x 12^3
A = (8 x 12)^3
A = 96^3
B = [3^5 x (4^5)^3]/[(4^6)^3 x (3^4)^2]
B = (3^5 x 4^15)/(4^18 x 3^8)
B = 3^(5-8) x 4^(15-18)
B = 3^(-3) x 4^(-3)
B = (3 x 4)^(-3)
B = 12^(-3)
C = (7^5 x 6^3 x 3^5 x 8^2)/(21^3 x 2^2 x 6)
C = 7^5 x 6^3 x 3^5 x 8^2 x 21^(-3) x 2^(-2) x 6^(-1)
C = 7^5 x 6^(3-1) x 3^5 x 8^2 x 21^(-3) x 2^(-2)
C = 7^5 x 6^2 x 3^5 x 8^2 x (3 x 7)^(-3) x 2^(-2)
C = 7^(5-3) x (2 x 3)^2 x 3^(5-3) x 8^2 x 2^(-2)
C = 7^2 x 2^(2-2) x 3^2 x 8^2
C = 7^2 x 3^2 x 8^2
C = (7 x 3 x 8)^2
C = 168^2
D = [5^(-2) x 14^(-5) x (3^(-1))^2)]/[(7^(-3))^(-2) x 15^9 x 2^6]
D = 5^(-2) x 14^(-5) x 3^(-2) x 7^(-6) x 15^(-9) x 2^(-6)
D = 5^(-2) x (2 x 7)^(-5) x 3^(-2) x 7^(-6) x (3 x 5)^(-9) x 2^(-6)
D = 5^(-2-9) x 2^(-5-6) x 3^(-2-9) x 7^(-5-6)
D = 5^(-11) x 2^(-11) x 3^(-11) x 7^(-11)
D = (5 x 2 x 3 x 7)^(-11)
D = 210^(-11)
