999²⁰=(999²)¹⁰=998001¹⁰<999999¹⁰

=>999²⁰<999999¹⁰

a. Ta có: \(50^{20}=50^{2.10}=2500^{10}< 2550^{10}\)

Vậy \(5^{20}< 2550^{10}\)

Ý b làm tương tự, tách 10 thành 5.2 là được.

a) 50²⁰ và 2550¹⁰

ta có : 50²⁰=(50²)¹⁰=2500¹⁰

=> 2500¹⁰<2550¹⁰

vì 2500<2550 và 10=10

hay 50²⁰<2550¹⁰

Vậy 50²⁰<2550¹⁰

b)999¹⁰ và 999999⁵

Ta có : 999¹⁰ = (999²)⁵

          999999⁵ = (999.1001)⁵

Ta thấy : (999²)=999.999 

 999.999 < 999.1001 vì 999<1001

=> 999²<999.1001

=>(999²)⁵<(999.1001)5

hay 999¹⁰<999999⁵

 Vậy 999¹⁰< 999999⁵

\(\text{Ta có : }999^{10}=\left(999^2\right)^5=998001^5\)

\(\text{Vì }998001^5< 999999^5\)

\(\Rightarrow999^{10}< 999999^5\left(đpcm\right)\)

Hk tốt

\(Ta \ có :\)

\(999^{10}=(999^2)^5=998001^5\)

Mà \(998001< 999999\)nên \(999^{10}< 999999^5(đpcm)\)

Hok tốt :>

Ta có: \(999^{10}=\left(999^2\right)^5=\left(999.999\right)^5\)

           \(999999^5=\left(999.1001\right)^5\)

Vì \(999< 1001\)\(\Rightarrow\left(999.999\right)^5< \left(999.1001\right)^5\)

hay \(999^{10}< 999999^5\)

\(999^{10}=\left(999^2\right)^5=998001^5\)

mà \(998001^5<999999^5\)

\(\Rightarrow999^{10}<999999^5\left(đpcm\right)\)

*Lưu ý: vì mũ 2 nên có thế bấm máy nhé!

Ta có 999¹⁰=(999²)⁵=998001⁵

Mà 998001< 999999 

Nên 999¹⁰ < 999999⁵.

999¹⁰=9.004488e+29

999999⁵=9.999995e+29 

mà 9.004488e+29 < 9.999995e+29 

=> 999^10 < 999999^5

Ta có \(999^{10}=\left(9.111\right)^{10}\)\(=9^{10}.111^{10}=9^5.9^5.\left(111^2\right)^5=9^5.\left(9.111^2\right)^5=9^5.110889^5\)

\(999999^5=9^5.111111^5\)

Vì 110889<111111 nên \(999^{10}< 999999^5\)

\(999^{10}< 999999^5\)

mk cũng ko biết đúng hay ko nữa  k mk nha

\(999^{10}>999999^5\)

\(999^{10}=\left(999^2\right)^5=998001^5\)

vì  \(999999>998001\)nên   \(999^{10}< 999999^5\)

vậy \(999^{10}< 999999^5\)

99²⁰ = (99²)¹⁰ = 9801¹⁰

Mà 9801 > 999 => 9801¹⁰ > 999¹⁰

=> 99²⁰ > 999¹⁰

99²⁰ = ( 99² )¹⁰ = 9801¹⁰

999¹⁰ < 9801¹⁰

\(\Rightarrow\)99²⁰ > 999¹⁰

Hk tốt

Ta có:

99²⁰ = (99²)¹⁰ > (80²)¹⁰ = 6400¹⁰ > 999¹⁰

99²⁰=(99²)¹⁰=9801¹⁰          9801¹⁰ > 999¹⁰     =>99²⁰ > 999¹⁰

99²⁰ = ( 99² )¹⁰ = 9801¹⁰

Mà 9801¹⁰ > 999¹⁰

=> 99²⁰ > 999¹⁰

Ta có: 99²⁰ =(99²)¹⁰

So sánh 99²>999

=>99²⁰>999¹⁰