5^217=5.5^(3.72)=5.(125)^72>125^72

217=3.72+1

5^217=5.5^3.72=5.(125)^72>119^72

5^{2017 >} 119⁷²  k cho mik nha

\(5^{2017}=5^{2016}.5=\left(5^{28}\right)^{72}.5\)

Có \(5^{28}>119\)

\(\Rightarrow\left(5^{28}\right)^{72}>119^{72}\)

\(\Rightarrow5^{2017}>119^{72}\)

A,3^77<7^38

B,5^59>29^31

C,8^50<33^75

D,5^217<119^72

E,13^40<2^161

H MINH NHE

a)\(333^{444}=3^{444}.111^{444}=\left(3^4\right)^{111}.111^{444}=81^{111}.111^{444}\)

\(444^{333}=4^{333}.111^{333}=\left(4^3\right)^{111}.111^{333}=64^{111}.111^{333}\)

Từ \(\hept{\begin{cases}81^{111}>64^{111}\\111^{444}>111^{333}\end{cases}}\Rightarrow81^{111}.111^{444}>64^{111}.111^{333}\Rightarrow333^{444}>444^{333}\)

b)\(5^{300}=\left(5^2\right)^{150}=25^{150};4^{453}=\left(4^3\right)^{151}=64^{151}\)

Vì 25¹⁵⁰<64¹⁵¹ => 5³⁰⁰<4⁴⁵³

c)\(5^{217}>5^{216}=\left(5^3\right)^{72}=125^{72}>119^{72}\) => \(5^{217}>119^{72}\)

CẢM ƠN NHIỀU LẮM!

So sánh 

2^6051 và 3^4034

Câu 1: 3^23  >    5^12

Câu 2: 3^36 < 2^8.11^4

3³⁰⁰ > 2³⁰⁰ ( vì 3 > 2 ).

3^200 = (3^2)^100 = 9^100 

2^300 = (2^3)^100 = 8^100 

Vì 9^100 > 8^100 

Vậy 3^200 > 2^300 

mk ko biết giai thông cảm

63^15<34^18