Question

so sánh

\(2^{1000}\)và \(5^{400}\)

Answer 1

\(2^{1000}=\left(2^5\right)^{200}=32^{200}\)

\(5^{400}=\left(5^2\right)^{200}=25^{200}\)

Vì \(32^{200}>25^{200}\)

\(\Rightarrow2^{1000}>5^{400}\)

Vậy...

Answer 2

Ta có :

\(2^{1000}=2^{10.100}\) \(=1024^{100}\)

\(55^{400}=5^{4.100}=625^{100}\)

\(1024^{100}>625^{100}\)

\(\Rightarrow2^{1000}>5^{400}\)