1,

Ta có:
\(\dfrac{73}{75}=1-\dfrac{2}{75}\)

\(\dfrac{77}{79}=1-\dfrac{2}{79}\)
So sánh phân số \(\dfrac{2}{75}\) và \(\dfrac{2}{79}\)
Vì \(75< 79\) nên \(\dfrac{1}{75}>\dfrac{1}{79}\)
Vậy \(1-\dfrac{2}{75}< 1-\dfrac{2}{79}\)
Hay \(\dfrac{73}{75}< \dfrac{77}{79}\)

2,

Vì \(\dfrac{53}{100}>\dfrac{47}{100}>\dfrac{47}{106}\) nên \(\dfrac{53}{100}>\dfrac{47}{106}\)

3,

Ta có:
\(\dfrac{81}{79}=1+\dfrac{2}{79}\)

\(\dfrac{65}{63}=1+\dfrac{2}{63}\)
So sánh phân số \(\dfrac{2}{79}\) và \(\dfrac{2}{63}\)
Vì \(79>63\) nên \(\dfrac{81}{79}< \dfrac{65}{63}\)
Hay \(\Rightarrow1+\dfrac{2}{79}< 1+\dfrac{2}{63}\)
Vậy \(\dfrac{81}{79}< \dfrac{65}{63}\)

4,

\(\dfrac{48}{47}>1>\dfrac{84}{85}\)

Vậy \(\dfrac{48}{47}>\dfrac{84}{85}\)

giúp mình với ạ

cảm ơn ạ

ta có: \(\frac{73}{75}>\frac{73}{79}>\frac{77}{79}\Rightarrow\frac{73}{75}>\frac{77}{79}\)

ta có: \(\frac{53}{100}< \frac{47}{100}\)

ta có: \(\frac{48}{47}>1;\frac{84}{85}< 1\Rightarrow\frac{48}{47}>\frac{84}{85}\)

A<B

A=B

Ta có 107⁵⁰=107^2x25=(107²)²⁵=11449²⁵

73⁷⁵=73^3x25=(73³)25=389017²⁵

vì 11449<389017 nên 11449²⁵<389017²⁵

Do đó 107⁵⁰<73⁷

Nhấn đúng cho mình nha, cam ơn

\(107^{50}72^{75}=\left(2^3\right)^{75}.\left(3^2\right)^{75}=2^{225}.3^{150}\)

=> \(2^{100}.3^{150}

107⁵⁰<108⁵⁰=(2².3³)⁵⁰=2¹⁰⁰.3¹⁵⁰

73⁷⁵>72⁷⁵=(2³.3²)⁷⁵=2²²⁵.3¹⁵⁰

Suy ra 107⁵⁰<73⁷⁵

Vậy 107⁵⁰<73⁷⁵

Ta có:

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

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

Vì 11449²⁵<389017²⁵ nên 107⁵⁰<73⁷⁵

Ta có:107⁵⁰  = (107²)²⁵ = 11449²⁵

             73⁷⁵ = (73³)²⁵ = 389017²⁵

suy ra:11449<389017 hoặc 11449²⁵ < 389017²⁵

vậy theo đề bài ta có:107⁵⁰ < 73⁷⁵

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

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

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

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

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

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

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

Vì 2⁹¹ > 2⁷² 

=> 2⁹¹ > 4³⁶

73⁷⁵=(73³⁾²⁵=389017²⁵

107⁵⁰=(107²)²⁵=11449²⁵

Vì 389017²⁵>11449²⁵ nên 73⁷⁵>107⁵⁰

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

b) 107^50 < 108^50 = (4.27)^50 = (2^2.3^3)^50 = 2^100.3^150 
73^75 > 72^75 = (8.9)^75 = (2^3.3^2)^75 = 2^225.3^150 
Mà 107^50 < 108^50 = 2^100.3^150 < 2^225.3^150 = 72^75 < 73^75 
=> 107^50 < 73^75 

b,107⁵⁰=(107²)²⁵=11449²⁵

73⁷⁵=(73³)²⁵=389017²⁵

389017²⁵>11449²⁵ =>107⁵⁰<73⁷⁵⁷

vậy 107⁵⁰<73⁷⁵

a,2⁹¹=(2¹³)⁷=8192⁷

5³⁵=(5⁵)⁷=3125⁷

8192⁷>3125⁷ =>2⁹¹>5³⁵

vậy 2⁹¹>5³⁵