a: -91/104=-7/8=-21/24

-5/6=-20/24

=>-91/104<-5/6

b: -15/21=-5/7

-36/44=-9/11

5/7=1-2/7; 9/11=1-2/11

mà 2/7>2/11

nên 5/7<9/11

=>-15/21>-36/44

\(\text{b, 5^36 = (5^3)^12 = 125}^{12}\)

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

\(\text{Vì }125^{12}>121^{12}=>5^{36}>11^{24}\)

\(\text{c, }107^{50}=\left(107^2\right)^{25}=11449^{25}\)

        \(73^{75}=\left(73^3\right)^{25}=389017^{25}\)

\(\text{Vì }11449^{25}< 389017^{25}\)\(=>107^{50}< 73^{75}\)

D) Ta có : 4³⁶ = (2²)³⁶ = 2^2.36 = 2⁷²

Vì 2⁹¹ > 2⁷² 

=> 2⁹¹ > 4³⁶

Ta có : 2⁹¹ = ( 2¹³ )⁷ = 8192⁷

5³⁵ = ( 5⁵ )⁷ = 3125⁷

Vì 8192⁷ > 3125⁷ nên 2⁹¹ > 5³⁵

Cbht

a: \(\dfrac{-13}{40}< \dfrac{-12}{40}\)

\(\dfrac{-5}{6}>\dfrac{-91}{104}\)

Sao bn giống BT mình thế ?:)

Bài 1:

a: Sửa đề: 1/3^200

1/2^300=(1/8)^100

1/3^200=(1/9)^100

mà 1/8>1/9

nên 1/2^300>1/3^200

b: 1/5^199>1/5^200=1/25^100

1/3^300=1/27^100

mà 25^100<27^100

nên 1/5^199>1/3^300

2^91=(2^13)^7=8192^7 
5^35=(5^5)^7=3125^7 
Mà 8192>3125 nên 8192^7>3125^7 
=>2^91>5^35

tick nhé bạn

2⁹¹=(2¹³)⁷=8192⁷

5³⁵=(5⁵)⁷=3125⁷

Vì 8192⁷>3125⁷ nên 2⁹¹>5³⁵

2^91=(2^13)^7=8192^7 
5^35=(5^5)^7=3125^7 
Mà 8192>3125 nên 8192^7>3125^7 
=>2^91>5^35

2^91=(2^13)^7=8192^7 
5^35=(5^5)^7=3125^7 
Mà 8192>3125 nên 8192^7>3125^7 
=>2^91>5^35