Question

So sanh 31^19 va 17^24

Answer 1

Ta có \(31^{19}< 32^{19}=\left(2^5\right)^{19}=2^{5.19}=2^{95}\)

\(17^{24}>16^{24}=\left(2^4\right)^{24}=2^{96}\)

Vì \(95< 96\)nên \(2^{95}< 2^{96}\)hay \(32^{19}< 16^{24}\)

Khi đó \(31^{19}< 17^{24}\)

Vậy \(31^{19}< 17^{24}\)

Answer 2

31/19 >17/24

vì 31/19 > 1

còn 17/24 < 1