Réponse :

Explications étape par étape

Bonjour

D = 25x^2

D = 5^2 * x^2

D = (5x)^2

E = 2^500/6^250 x 9^250

E = 2^500/(2 x 3)^250 x (3^2)^250

E = 2^500/(2^250 x 3^250) x 3^(2x250)

E = 2^500/2^250 x 3^500/3^250

E = 2^(500-250) x 3^(500-250)

E = 2^250 x 3^250

E = (2 x 3)^250

E = 6^250