Question

5 la puterea 89 si 9 la puterea 66

Answer 1

Compara:
5^89 si 9^66

5^89 = 5^88 × 5 = (5^4)^22 = 625^22 =
= (625^2)^11 = 390 625^11

9^66 = (3^2)^66 = 3^132 = (3^4)^33 =
81^33 = (81^3)^11 = 531 441^11

390625^11 < 531441^11

deci, 5^89 < 9^66