Question

So Sánh : 71⁵⁰ và 37⁷⁵

Answer 1

Có: \(71^{50}=\left(71^2\right)^{25};37^{75}=\left(37^3\right)^{25}\)

Lại có: \(71^2< 72^2=\left(2\cdot36\right)^2=2^2\cdot36^2=4\cdot36^2< 36\cdot36^2=36^3< 37^3\)

Vậy \(71^{50}< 37^{75}\)

Answer 2

Ta có: \(71^{50}=\left(71^2\right)^{25}=5041^{25}\)

\(37^{75}=\left(37^3\right)^{25}=50653^{25}\)

mà \(5041^{25}< 50653^{25}\)

nên \(71^{50}< 37^{75}\)

Answer 3

71 ^ 50 > nhé