Question

so sánh: a.5³⁶ và 11²⁴

^b,5²³ 6.5²²

c,31¹¹ và 17¹⁴

d, 72⁴⁵ - 72 ⁴⁴ và 72⁴⁴ - 72⁴³

Answer 1

a. Ta có: \(5^{36}=\left(5^3\right)^{12}=125^{12}\)

\(11^{24}=\left(11^2\right)^{12}=121^{12}\)

\(Do\)\(125^{12}>121^{12}\Rightarrow5^{36}>11^{24}\)

b) Ta có; \(6.5^{22}>5.5^{22}=5^{23}\)

Answer 2

d) Ta có: \(72^{45}-72^{44}=72^{44}\left(72-1\right)=72^{44}.71\)

\(72^{44}-72^{43}=72^{43}\left(72-1\right)=72^{43}.71\)

Do \(72^{44}.71>72^{43}.71\Rightarrow72^{45}-72^{44}>72^{44}-72^{43}\)