Question

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

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