Question

Ordonati crescator
3 la puterea 35 , 9 la puterea 18 , 27 la puterea 11

2 la puterea 61 , 4 la puterea 29 si 8 la puterea 20

Answer 1

27 la puterea 11,,,3 la puterea 35.....9 la puterea 18
4 la puterea 29,,,,8 la puterea 20,,,, 2 la puterea 61

Answer 2

ca sa putem ordona numerele trebuie sa avem aceasi baza , 9=3² , 27=3³  ⇒

$3 ^{35}, (3 ^{2})^{18} , (3 ^{3})^{11}$  

$3 ^{35}, 3 ^{36} , 3 ^{33}$

le ordonam acum crescator :$3 ^{33},3 ^{35},3 ^{36}$   


4=2² , 8=2³

$2^{61}, (2 ^{2})^{29} , (2 ^{3})^{20}$

$2^{61}, 2 ^{59} , 2 ^{60}$

ordonarea: $2 ^{59} , 2 ^{60}, 2^{61}$