Question

Ordonati crescător numerele :
a) 5^300 ; 3^400 ; 8^200 ;
b) 2^60 ; 3^45 ; 5^30 ;
c) 32^25 ; 4^62 ; 64^21

Dau coroană.

Answer 1

a)5³⁰⁰; 3⁴⁰⁰; 8²⁰⁰
5³⁰⁰=(5³)¹⁰⁰=125¹⁰⁰
3⁴⁰⁰=(3⁴)¹⁰⁰=81¹⁰⁰
8²⁰⁰=(8²)¹⁰⁰=64¹⁰⁰
deci, ordonam 8²⁰⁰, 3⁴⁰⁰, 5³⁰⁰

b)2⁶⁰; 3⁴⁵; 5³⁰
2⁶⁰=(2⁴)¹⁵=16¹⁵
3⁴⁵=(3³)¹⁵=27¹⁵
5³⁰=(5²)¹⁵=25¹⁵
deci, ordonam 2⁶⁰, 5³⁰, 3⁴⁵


c)32²⁵; 4⁶²; 64²¹
32²⁵=(2⁵)²⁵=2⁵ˣ²⁵=2¹²⁵
4⁶²=(2²)⁶²=2²ˣ⁶²=2¹²⁴
64²¹=(2⁶)²¹=2⁶ˣ²¹=2¹²⁶
deci, ordonam 4⁶², 32²⁵, 64²¹