Question

So sánh

\(3^{12}\) và \(2^{20}\)

Answer 1

\(3^{12}=3^{6.2}=\left(3^6\right)^2=729^2\)

\(2^{20}=2^{10.2}=\left(2^{10}\right)^2=1024^2\)

Dễ thấy \(729< 1024\Rightarrow729^2< 1024^2\) hay \(3^{12}< 2^{20}\)

Answer 2

Ta có:

\(3^{12}=3^{6.2}=\left(3^6\right)^2=729^2\)

\(2^{20}=2^{10.2}=\left(2^{10}\right)^2=1024^2\)

Vì \(729< 1024\Leftrightarrow729^2< 1024^2\) nên \(3^{12}< 2^{20}\)