Question

so sánh: 4⁵⁹ và 3⁸⁰

Answer 1

\(4^{59}< 4^{60}\)

Ta có:

\(4^{60}=\left(4^3\right)^{20}=64^{20}\)

\(3^{80}=\left(3^4\right)^{20}=81^{20}\)

Mà: \(81>64\)

\(\Rightarrow81^{20}>64^{20}\)

\(\Rightarrow3^{80}>4^{60}\)

\(\Rightarrow3^{80}>4^{59}\)