Question

So sánh

2²²⁵ và 3¹⁵⁰

Answer 1

Ta có:\(2^{225}=\left(2^3\right)^{75}=8^{75}\)

\(3^{150}=\left(3^2\right)^{75}=9^{75}>8^{75}\) nên \(3^{150}>2^{225}\)

Vậy \(3^{150}>2^{225}\)

Answer 2

\(2^{225}=\left(2^3\right)^{75}=8^{75}\)

\(3^{150}=\left(3^2\right)^{75}=9^{75}\)

vì \(8^{75}< 9^{75}\Rightarrow2^{225}< 3^{150}\)