Question

Va rog mult daca ma puteți ajuta... Este urgent!

Answer 1

9²⁴ < 27⁴⁶

( 3²)²⁴ = 3⁴⁸

27⁴⁶ = ( 3³)⁴⁶ = 3¹³⁸

3⁴⁸ < 3¹³⁸

Daca 27 este la puterea 16, atunci 9²⁴ = 27¹⁶, ( 3²)²⁴ = (3³)¹⁶ = 3⁴⁸

2¹⁵⁵ > 3⁹³

2¹⁵⁵ = ( 2⁵)³¹ = 32³¹

( 3³)³¹ = 27³¹

32³¹ > 27³¹

8²⁴ < 16²⁵

8²⁴ = ( 2³)²⁴ = 2⁷²

16²⁵ = ( 2⁴)²⁵ = 2¹⁰⁰

2⁷² < 2¹⁰⁰

( 2 x 2³ x 2⁵)¹⁰⁰ = ( 2¹⁺³⁺⁵) ¹⁰⁰ = ( 2⁹)¹⁰⁰ = 2⁹⁰⁰

4⁴⁾⁵⁰⁰ = ( 2²)²⁰⁰⁰ = 2⁴⁰⁰⁰

2⁹⁰⁰ < 2⁴⁰⁰