Question

Coparati puterile
2 la puterea 33 si 3 la puterea 22
5 la puterea 30 si 6 la puterea 20
11 la puterea 12 si 7 la puterea 18

Answer 1

2^33 = (2^3)^11 = 8^11
3^22 = (3^2)^11 = 9^11

2^33 < 3^22

5^30 = (5^3)10 = 125^10
6^20 = (6^2)^10 = 36^10

5^30 > 6^20

11^12 = (11^2)^6 = 121^6
7^18 = (7^3)^6 = 343^6

11^12 < 7^18