10^1005 > 9^1005 = 3^2.1005 = 3^2010

=> 10^1005 > 3^2010

cho mik nha chế

Ta có: 

3^2010 = ( 3^2 )^1005 = 9^1005

Vì 9^1005 < 10^1005 nên 3^2010 < 10^1005

Vậy 3^2010 < 10^1005

3^2010 = ( 3^2 )^1005 = 9^1005

Vì 9^1005 < 10^1005 nên 3^2010 < 10^1005

Vậy 3^2010 < 10^1005

lớn hơn 

bạn nhé

9^10=3486784401

10^9=1000000000

3486784401>1000000000

Suy ra 9^10>10^9

a,\(\sqrt{17}+\sqrt{26}+1>\sqrt{16}+\sqrt{25}+1=10=\sqrt{100}>\sqrt{99}\)

b,Ta có:\(\hept{\begin{cases}\frac{1}{\sqrt{1}}>\frac{1}{\sqrt{100}}\\\frac{1}{\sqrt{2}}>\frac{1}{\sqrt{100}}\\.........\end{cases}}\)\(\Rightarrow\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+........+\frac{1}{\sqrt{100}}>\frac{1}{\sqrt{100}}+\frac{1}{\sqrt{100}}+......+\frac{1}{\sqrt{100}}=\frac{100}{\sqrt{100}}=10\)

2^59=2^17.2^42

10^17=2^17.5^17

5^17<5^18=25^4<32^4<32^8=2^40<2^42

=> 5^17<2^42

vậy ....

Ta có 2⁵⁹ < 2⁶⁰ = (2⁴)¹⁵ = 16¹⁵ < 17¹⁵

Vậy 2⁵⁹ < 17¹⁵

17^15 > 2^59 .                                             

Có : 17^15 > 16^15 = (2^4)^15 = 2^60

Vì 2^60 > 2^59 mà 17^15 > 2^60 => 17^15 > 2^59

k mk nha bạn

17¹⁵ và 2⁵⁹

ta có:

17¹⁵>16¹⁵ ; 16¹⁵= (2⁴)¹⁵=2⁶⁰

Vì 2⁶⁰> 2⁵⁹=>16¹⁵>2⁵⁹

=>17¹⁵>2⁵⁹