Réponse :
Explications étape par étape
Bonsoir
6⁴ x 35⁴ / 15⁴ x 14³
= (2 x 3 x 7 x 5)^4 / [(3 x 5)^4 x (2 x 7)^3]
= 2^(4-3) x 3^(4-4) x 7^(4-3) x 5^(4-4)
= 2^1 x 3^0 x 7^1 x 5^0
= 2 x 7
= 14
Puis (-6)⁷ x (-77)⁵ / (-14)⁵ (-33)⁷
= (2 x 3)^7 x (7 x 11)^5 / [(2 x 7)^5 x (3 x 11)^7]
= 2^(7-5) x 3^(7-7) x 7^(5-5) x 11^(5-7)
= 2^2 x 3^0 x 7^0 x 11^(-2)
= 4/11^2
= 4/121
Ou encore simplifier 3⁷ x (1/3)⁵
= 3^7 x 3^(-5)
= 3^(7-5)
= 3^2
= 9
