Question

So sánh hai lũy thừa sau : 

\(31^{11}\)và \(17^{14}\)

Answer 1

Ta có: 31¹¹ < 32¹¹ = (2⁵)¹¹ = 2⁵⁵

17¹⁴ > 16¹⁴ = (2⁴)¹⁴ = 2⁵⁶

Vì 2⁵⁵ < 2⁵⁶ => 32¹¹ < 16¹⁴ => 31¹¹ < 17¹⁴

Answer 2

31¹¹ < 32¹¹=2⁵⁵

17¹⁴ > 16¹⁴=2⁵⁶

do 2⁵⁶ > 2⁵⁵  <=>17¹⁴ > 31¹¹

Answer 3

31^11<32^11=2^55

=> 31^11<2 ^55

17^14>16^14 =2^56 

=>17^14>2^56

=> 31^11<2^55<2^56<17^14

=>31^11<17^14

 k mik nha

Answer 4

31¹¹ và 17¹⁴

31¹¹ < 32¹¹ = ( 2⁵ )¹¹ = 2⁵⁵

=> 31¹¹ < 2⁵⁵

17¹⁴ > 16¹⁴ = ( 2⁴)¹⁴ = 2⁵⁶

=> 17¹⁴ > 2⁵⁶

=> 31¹¹ < 2⁵⁵ < 2⁵⁶ < 17¹⁴

=> 31¹¹ < 17¹⁴