Question

so sánh \(2^{300}\) và \(3^{200}\) ?

Answer 1

2³⁰⁰<3²⁰⁰

Answer 2

\(2^{300}=\left(2^3\right)^{100}=8^{100}< 9^{100}=\left(3^2\right)^{100}=3^{200}\)

Answer 3

( 2³ )¹⁰⁰ và (3²)¹⁰⁰

8^{100 <} 9¹⁰⁰ 

=>2³⁰⁰ < 3²⁰⁰

Answer 4

2^300=(2^)^100=8^100<9^100=(3^2)100=3^200

Answer 5

Ta có: 2³⁰⁰ = (2³)¹⁰⁰ = 8¹⁰⁰

           3²⁰⁰ = (3²)¹⁰⁰ = 9¹⁰⁰

Vì 8<9

Nên 8¹⁰⁰<9¹⁰⁰

Vậy 2³⁰⁰<3²⁰⁰