Réponse :
Explications étape par étape :
Bonjour
A= (5^6 × 5^3) 5^7
A = (5^9)/5^7
A= 5[9-7)
A = 5^2
B= (14^2 × 3^3) /(21^2 × 4^3)
B = (7^2x 2^2x3^3) / ( 7^2 x 3^2 x 2^6)
B = 2^(2-6)x 3^3-2)
B = 2^-4 x 3
B= 3/ 2^4
C = (6^2 × 5^7 × 27^3) / (21^3 × 9^2 × 5^10)
C = (3^2 x 2^2 x 5^7 x 3^9 ) / (7^3 x 3^3 x 3^4 x 5^10)
C = (3^11 x 2^2 x 5^7) / ((7^3 x 3^7 x 5^10)
C = (3^4 x 2^2) / (7^3 x 5^10)
D = (12^100 × 1,5^50) / 6^149
D = (3^100x2^200x 3^50) /( 2^50 x 2^149 x 3^149)
D = (3^150 x 2^200) / (2^154 x 3 ^ 149)
D = 3 x 2^46