Question

So Sánh

3²⁰⁰và2³⁰⁰

 

Answer 1

ta có:3²⁰⁰=(3²)¹⁰⁰=9¹⁰⁰

2³⁰⁰=(2³)¹⁰⁰=8¹⁰⁰

vì 8<9=>8¹⁰⁰<9¹⁰⁰

=>3²⁰⁰ > 2³⁰⁰

Answer 2

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

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

\(\Rightarrow9^{100}>8^{100}\) hay \(3^{200}>2^{300}\)

Answer 3

Có: 3²⁰⁰ = (3²)¹⁰⁰ = 9¹⁰⁰

      2³⁰⁰ = (2³)¹⁰⁰ = 8¹⁰⁰

mà 9¹⁰⁰ > 8¹⁰⁰

nên 3²⁰⁰ > 2³⁰⁰

Nhớ k nhìu nha bạn