Ta có 3^75 = (3^3)^25= 9^25

5^50 = (5^2)^25 =-10^25

=) 9<10 =) 3^75 < 5^50

3⁷⁵  > 3⁵⁰

\(\text{Ta có}:\)

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

\(5^{50}=\left(5^2\right)^{25}\)

\(\Rightarrow\left(3^3\right)^{25}=27^{25}\)

\(\Rightarrow\left(5^2\right)^{25}=25^{25}\)

\(\text{Vậy }27^{25}>25^{25}\)

\(\Rightarrow3^{75}>5^{50}\)

\(5\sqrt{2}+\sqrt{75}=5\sqrt{2}+5\sqrt{3}\)

\(5\sqrt{3}+\sqrt{50}=5\sqrt{3}+5\sqrt{2}\)

\(\Rightarrow5\sqrt{2}+\sqrt{75}=5\sqrt{3}+\sqrt{50}\)

http://dethi.violet.vn/present/showprint/entry_id/11136600

bạn muốn học tiếng anh thi bn có thể thông qua ứng dụng từ điển TFAT trên google hoặc appstron nhé

Ta có: 3⁷⁵=3^25.3=(3³)²⁵=27²⁵

5⁵⁰=5^25.2=(5²)²⁵=25²⁵

Vì 27²⁵>25²⁵

Nên 3⁷⁵>5⁵⁰

haizz ~~
So sánh : 

3^75 và 5^50 ( viết thế này cho lẹ =v )
Ta có : 3^75 = ( 3^3 )^25 = 27^25

           5^50 = ( 5^2 )^25 = 25^25

Vì 27^25 > 25^25 => 3^75 > 5^50

Vậy 3^75 > 5^50 

Tk nhé =v

Ta có :

\(3^{75}=\left(3^3\right)^{25}=27^{25}\)

\(5^{50}=\left(5^2\right)^{25}=25^{25}\)

Vì \(27^{25}>25^{25}\)\(\Rightarrow\)\(3^{75}>5^{50}\)

Vậy \(3^{75}>5^{50}\)

_Chúc bạn học tốt_

a/ ta co \(50^{20}=\left(50^2\right)^{10}\)

           \(\left(50^2\right)^{10}=2500^{10}< 2550^{10}\)

           Hay \(50^{20}< 2550^{10}\)

b/   ta có  \(3^{75}=\left(3^3\right)^{25}\)

              \(5^{50}=\left(5^2\right)^{25}\)

\(\Rightarrow\left(3^3\right)^{25}=27^{25}\)

\(\Rightarrow\left(5^2\right)^{25}=25^{25}\)

Vay \(3^{75}>5^{50}\)

\(3^{40}=\left(3^4\right)^{10}=81^{10}\)

\(4^{30}=\left(4^3\right)^{10}=64^{10}\)

Vì \(81>64\)

`-> 81^10 > 64^10`

`-> 3^40 > 4^30`

`----`

`2^75=(2^3)^25=8^25`

`3^50=(3^2)^25=9^25`

Vì `9>8`

`-> 9^25 > 8^25`

`-> 3^50 > 2^75`.

a: 3^40=81^10

4^30=64^10

=>3^40>4^30

b: 2^75=8^25

3^50=9^25

=>2^75<3^50

\(a=2^{100}=\left(2^4\right)^{25}=16^{25}\)

\(b=3^{75}=\left(3^3\right)^{25}=27^{25}\)

\(c=5^{50}=\left(5^2\right)^{25}=25^{25}\)

Vì \(16^{25}< 25^{25}< 27^{25}\)

\(\Rightarrow a< c< b\)

\(a=2^{100},b=3^{75},c=5^{50}\\ \Rightarrow a=30^{85},b=30^{65},c=30^{44}\\ \Rightarrow a>b>c\)

Ta có:

\(a=2^{100}=2^{4\cdot25}=\left(2^4\right)^{25}=16^{25}\)

\(b=3^{75}=3^{3\cdot25}=\left(3^3\right)^{25}=27^{25}\)

\(c=5^{50}=5^{2\cdot25}=\left(5^2\right)^{25}=25^{50}\)

Ta thấy: 

\(16< 25< 27\)

\(\Rightarrow16^{25}< 25^{25}< 27^{25}\)

\(\Rightarrow2^{100}< 5^{50}< 3^{75}\)

\(\Rightarrow a< c< b\)

a, 24^10 < 3^30 + 4^30 + 5^30

b, 2^100 < 5^50 < 3^75.

chịu thua

a) Ta có: 3³⁹<3⁴⁰=(3⁴)¹⁰=81¹⁰

11²¹>11²⁰=(11²)¹⁰=121¹⁰

Mà 121^10>81^10=>11^21>3^39