Question

So sánh:

202³⁰³ và 303²⁰²

Answer 1

\(202^{303}=101^{202}.101^{101}.2^{303}\)

\(303^{202}=101^{202}.3^{202}\)

Dễ thấy :

\(101^{101}.2^{303}>64^{101}.2^{303}=2^{303}.2^{303}=4^{303}\)

Mà \(4^{303}>3^{202}\)

\(\Rightarrow202^{303}>303^{202}\)