Question

[KC]

so sanh

333^444 va 444^333

tinh :

\(\frac{2^{50}.3^{61}+2^{90}.3^{16}}{2^{51}.3^{61}+2^{31}.3^{16}}\)

lam on giai dum mk cai nha!

mong nhan dc su giup do tu cac ban

Answer 1

[Bùi Hà Phương]

so sánh 

ta có 

333⁴⁴⁴=333^4.111=(333⁴)¹¹¹

444³³³=444^3.111=(444³)¹¹¹

So sánh 333⁴và 444³ ta có 

333⁴=(3.111)⁴=3⁴ . 111⁴=81.111⁴

444³=(4.111)³=4³. 111³=64. 111³

Vì 81.111⁴>64.111³

Suy ra 333⁴⁴⁴>444³³³