Question

so sánh 31^11 và 17^14

Answer 1

\(31^{11}<32^{11}=\left(2^5\right)^{11}=16^{11}<16^{14}<17^{14}\)

Vậy \(31^{11}<17^{14}\).

Answer 2

31^11  >  17^14

Answer 3

\(31^{11}<32^{11}=\left(2^5\right)^{11}=2^{55};17^{14}>16^{14}=\left(2^4\right)^{14}=2^{56}\)

Vì 2⁵⁵ < 2⁵⁶ nên 31¹¹ < 17¹⁴.