Question

Comparati numerele a si b:

a) 2¹⁴ ... 3⁷
b) 2¹⁵ ... 5⁶
c) 2¹² ... 3⁸
d) 3⁹ ... 5⁶
e) 2³° ... 3²°
f) 3⁵¹.... 2¹°²
g) 3²² ... 2³³


2.Ordonati crescator numerele:

a) 5³°°,3⁴°°,8²°°
b)2⁶°,3⁴⁵,5³°
c)32²⁵;4⁶²;64²¹

daca puteti sa imi si explicati ar fi perfect :)

Answer 1

a) 2^14 si 3^7
(2²)^7 >3^7 deoarece 4^7>3^7
b) 2^15 si 5^6
(2^5)³ si (5²)³ adica 32³>25³
c) (2³)^4 si (3²)^4 
8^4<9^4
d) (3³)³ si (5²)³
9³<25³
e) (2³)^10 si (3²)^10
8^10<9^10
f) (3)^51 si (2²)^51
3^51<4^51
g)(3²)^11 si (2³)^11
9^11>8^11

2
a) (5³)^100=125^100
(8²)^100=64^100 
(3³)^100=27^100
asa sunt descrescatoare tu le pui invers
 b) (2^4)^15=16^15
(5²)^15=25^15
(3³)^15=27^15
c)4^62=2^124
32^25=2^125
64^21=2^126