Question

So sánh 2^300 với 3^200  

Answer 1

2³⁰⁰ < 3²⁰⁰

Answer 2

2³⁰⁰<3²⁰⁰

Answer 3

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

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

Vì \(8^{100}< 9^{100}\Leftrightarrow2^{300}< 3^{200}\)

Answer 4

Ta có:

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

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

\(\Rightarrow8^{100}< 9^{100}\Rightarrow2^{300}< 3^{200}\)

ai k mik mik sẽ k lại nha

Answer 5

Ta có :

2³⁰⁰ = ( 2³ )¹⁰⁰ = 8¹⁰⁰

3²⁰⁰ = ( 3² )¹⁰⁰ = 9¹⁰⁰

Vì 8¹⁰⁰ < 9¹⁰⁰ nên 2³⁰⁰ < 3²⁰⁰

Answer 6

2³⁰⁰ = (2³)¹⁰⁰ = 8¹⁰⁰

3²⁰⁰ = (3²)¹⁰⁰ = 9¹⁰⁰

Vì 8¹⁰⁰ < 9¹⁰⁰ nên 2³⁰⁰ < 3²⁰⁰

Answer 7

Ta có:

\(2^{300}=\left(2^3\right)^{100}=8^{100}\)    \(\left(1\right)\)

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

Từ \(\left(1\right)\)\(\left(2\right)\)\(\Rightarrow\)\(8^{100}< 9^{100}\)hay \(2^{300}< 3^{200}\)