Question

so sánh 2^600va 3^450

 

Answer 1

Do 2⁶⁰⁰ = 2^{5 . 120} = (2⁵)¹²⁰  = 32¹²⁰

      3⁴⁵⁰ = 3^{3 . 120} = (3³)¹²⁰ = 27¹²⁰

Nên 32¹²⁰ > 27¹²⁰

Vậy 2⁶⁰⁰ > 3⁴⁵⁰

Answer 2

ta có : \(2^{600}=\left(2^5\right)^{120}=32^{120}\)

\(3^{450}=\left(3^3\right)^{120}=27^{120}\)

vì \(32^{120}>27^{120}\)

\(\Rightarrow2^{600}>3^{450}\)

Answer 3

Ta có:2⁶⁰⁰=(2⁴)¹⁵⁰=16¹⁵⁰

         3⁴⁵⁰=(3³)¹⁵⁰=27¹⁵⁰

Vì 16¹⁵⁰<27¹⁵⁰ nên 2⁶⁰⁰<3⁴⁵⁰

Vậy 2⁶⁰⁰<3⁴⁵⁰