vfyhgjn

Ta có: \(333^{555}=\left(3.111\right)^{555}=3^{555}.111^{555}=\left(3^5\right)^{111}.111^{555}=243^{111}.111^{555}\)

\(555^{333}=\left(5.111\right)^{333}=5^{333}.111^{333}=\left(5^3\right)^{111}.111^{333}=125^{111}.111^{333}\)

Vì \(125^{111}< 243^{111}\)và \(111^{333}< 111^{555}\)

\(\Rightarrow125^{111}.111^{333}< 243^{111}.111^{555}\)

Vậy \(555^{333}< 333^{555}\)

A=\(333^{555} = (333^5)^{111} = (( 111 . 3 )^5 ) ^{111} =( 111^5 . 3^5 )^{111} \)

B=\(555^{333}= ( 555^3) ^{111} =(( 111.5 ) ^3 )^{111} = (111^3 . 5^3 )^{111} \)

Ta thấy \(111^5 > 111^3 \)  và \(3^5(243)>5^3 (125)\)

=> A>B

555³³³ = (555³)¹¹¹ 

333⁵⁵⁵ = (333⁵)¹¹¹

vì mũ của hai số giống nhau nên ta đi so sánh 555³ và 333⁵

555³ = (5 . 111)³ = 5³ . 111³ = 125 . 111³

333⁵ = (3 . 111)⁵ = 3⁵ . 111⁵ = 243 . 111⁵

Vì 125 . 111³ < 243 . 111⁵ nên 333⁵ < 555³

hay 555³³³ < 333⁵⁵⁵

vậy 555³³³ < 333⁵⁵⁵

555^333<333^555

b) 5^333= (5^3)^111= 125^111

   3^555= (3^5)^111 = 243^111

=> 5^333<3^555

a) 3^5 = 243

   5^3 = 125

nên 3^5 >  5^3

3^5>5^3

5^333<3^555 nha

kết quả là a 3^5 > 5^3

b 5^333 < 3^555

\(5^{333}v\text{à}3^{555}\)

\(Tac\text{ó}:5^{333}=\left(5^3\right)^{111}=125^{111}\)

\(Tac\text{ó}:3^{555}=\left(3^5\right)^{111}=243^{111}\)

\(\Rightarrow5^{333}< 3^{555}\left(V\text{ì}125^{111}< 243^{111}\right)\)

ta có 5³³³=(5³)¹¹¹=125¹¹¹

         3⁵⁵⁵=(3⁵)¹¹¹=27¹¹¹

 125¹¹¹>27¹¹¹ => 5³³³ > 3⁵⁵⁵

a)\(\frac{1313}{1515}=\frac{13\times101}{15\times101}=\frac{13}{15}\)

\(\frac{1326}{1428}=\frac{1326:102}{1428:102}=\frac{13}{14}\)

DO  \(\frac{13}{14}>\frac{13.}{15}\)   nên    \(\frac{1326}{1428}>\frac{1313}{1515}\)

\(b\))\(\frac{222}{555}\)  và    \(\frac{333}{444}\)

\(\frac{222}{555}=\frac{2\times111}{5\times111}=\frac{2}{5}\)

\(\frac{333}{444}=\frac{3\times111}{4\times111}=\frac{3}{4}\)

DO    \(\frac{2}{5}< \frac{3}{4}\)  nên    \(\frac{222}{555}< \frac{333}{444}\)

333 mũ 555 < 555 mũ 333 nha

333^555>555^333

333 mũ 555<555 mũ 333 nha

A = 333⁵⁵⁵ = (3.111)⁵⁵⁵ = 3⁵⁵⁵.111⁵⁵⁵ = (3⁵)¹¹¹.111⁵⁵⁵ = 243¹¹¹.111⁵⁵⁵

555³³³ = (5.111)³³³ = 5³³³.111³³³ = (5³)¹¹¹.111³³³ = 125¹¹¹.111³³³

Vì 243¹¹¹.111⁵⁵⁵ > 125¹¹¹.111³³³

=> 333⁵⁵⁵ > 555³³³

hay A > B

\(vi333^{555}>555^{333}nenA>B\)

chuc bn hoc gioi!

nhae

bn

$$$

(______^______^_______)

333⁵⁵⁵=(3.111)^5.111=(243.111⁵)¹¹¹=(243.111.111.111³)¹¹¹

555³³³=(5.111)^3.111=(125.111³)¹¹¹

=>333⁵⁵⁵>555³³³

tick mk nha

DẤU NÀY > NHA BẠN.

a, 8^5=8192;3.4^7=3.16384=49152

=>8^5<3.4^7

b,cái nè dài quá nên chị viết ngắn gọn thôi ha!^.^

31^11>17^14

c,5^333<3^555