Question

Va rog:Comparati numerele 2 la puterea302 si 3 la puterea203

Answer 1

2^302=2^2 x 2^300=2^2x(2^3)^100
3^203=3^3 x 3^200=3^3 x (3^2)^100

2^2x(2^3)^100 sau <3^3 x (3^2)^100
4x8^100 sau 27x9^100
4<27 si 8<9 =>
 4x8^100 < 27x9^100
2^302<3^203