Răspuns:
Explicație pas cu pas:
5⁹¹ = 5·5⁹⁰ = 5·5⁽²ˣ⁴⁵⁾ = 5·(5²)⁴⁵ = 5·25⁴⁵ > 24⁴⁵
4⁵⁵⁵ = (2²)⁵⁵⁵ = 2⁽²ˣ⁵⁵⁵⁾ = 2¹¹¹⁰ > 2⁹⁹⁹ = 2⁽³ˣ³³³⁾ = (2³)³³³ = 8³³³
2⁸⁵ < 2⁸⁸ = 2⁽⁴ˣ²²⁾ = (2⁴)²² = 16²²
125²⁶ = (5³)²⁶ = 5⁽³ˣ²⁶⁾ = 5⁷⁸ > 5⁷⁰ = 5⁽²ˣ³⁵⁾ = (5²)³⁵ = 25³⁵
36¹¹² = (6²)¹¹² = 6⁽²ˣ¹¹²⁾ = 6²²⁴ < 6³³³
27⁸⁴ = (3³)⁸⁴ = 3⁽³ˣ⁸⁴) = 3²⁵² < 3²⁶⁰ = 3⁽²ˣ¹³⁰⁾ = (3²)¹³⁰ = 9¹³⁰
2⁹¹ < 2¹⁴⁴ = 2⁽⁶ˣ²⁴) = (2⁶)²⁴ = 64²⁴
121⁴⁵ = (11²)⁴⁵ = 11⁽²ˣ⁴⁵) = 11⁹⁰
32⁹⁰ = (2⁵)⁹⁰ = 2⁽⁵ˣ⁹⁰⁾ = 2⁴⁵⁰ < 2⁵⁴⁰ = 2⁽⁴ˣ¹³⁵ = (2⁴)¹³⁵ = 16¹³⁵
