Bonsoir :)
Réponse en explications étape par étape :
- Question : Calculer :
E = √[(8¹⁰ + 4¹⁰)/(8⁴ + 4¹¹)]
E = √[(2 * 4)¹⁰ + 4¹⁰)/(2 * 4)⁴ + 4¹¹)]
E = √[(2¹⁰ * 4¹⁰ + 4¹⁰)/(2⁴ *4⁴ + 4¹¹)]
E = √[4⁴ (2¹⁰ * 4⁶ + 4⁶)/4⁴(2⁴ + 4⁷)]
E = √[(2¹⁰ * 4⁶ + 4⁶)/(2⁴ + 4⁷)]
E = √[(1024 * 4096 + 4096)/(16 + 16384)]
E = √[16 * (64 * 4096 + 256)/16 * (1 + 1024)]
E = √[(64 * 4096 + 256)/(1 + 1024)]
E = √[(262144 + 256)/(1 + 1024)]
E = √[(262400)/(1025)]
E = √256
E = 16
Voilà
