Question

So Sánh :

\(2^{332}\) và \(3^{223}\)

Answer 1

\(2^{332}\) và \(3^{223}\)

\(2^{332}< 2^{333}=\left(2^3\right)^{111}=8^{111}\) hay \(2^{332}< 8^{111}\)

\(3^{223}>3^{222}=\left(3^2\right)^{111}=9^{111}\) hay \(3^{223}>9^{111}\)

Mà : \(8^{111}< 9^{111}\)

\(\Rightarrow2^{332}< 8^{111}< 9^{111}< 3^{223}\)

Vậy \(2^{332}< 3^{223}\)