Question

so sánh\(2^{332}\)và \(3^{223}\)

Answer 1

\(2^{332}\)<\(2^{333}\)=\(2^{3.111}\)=\(8^{111}\)

\(3^{223}\)>\(3^{222}\)=\(3^{2.111}\)=\(9^{111}\)

Mà\(8^{111}\)<\(9^{111}\)\(\Rightarrow\)\(2^{332}\)<\(8^{111}\)<\(9^{111}\)<\(3^{223}\)\(\Rightarrow\)\(2^{332}\)<\(3^{223}\)

Vậy\(2^{332}\)<\(3^{223}\)