Question

 so sánh 3²⁰⁰và2³⁰⁰

Answer 1

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

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

Ta có: \(8< 9\)

\(\Rightarrow8^{100}< 9^{100}\)

\(\Rightarrow2^{300}< 3^{200}\)

Answer 2

3²⁰⁰=(3²)¹⁰⁰=9¹⁰⁰

2³⁰⁰=(2³)¹⁰⁰=8¹⁰⁰

Vì: 9¹⁰⁰>8¹⁰⁰

=> 3²⁰⁰>2³⁰⁰

=.= hok tốt!!

Answer 3

Ta có : \(3^{200}=\left(3^2\right)^{100}=\left(3.3\right)^{100}=9^{100}\)

                \(2^{300}=\left(2^3\right)^{100}=\left(2.2.2\right)^{100}=8^{100}\)

So  sánh : \(8< 9\)                     \(100=100\)

\(\Leftrightarrow8^{100}< 9^{100}\Leftrightarrow3^{200}>2^{300}\)