Question

So sánh : (27/64)¹⁵   và (81/256)¹⁰ 

Answer 1

   Bạn để ý: 81 = 3^4 (3⁴)            27 = 3^3

            64 = 2^6                256 = 2^8

 Vậy \(\left(\frac{27}{64}\right)^{15}=\left(\frac{3^2}{8^2}\right)^{15}=\left(\frac{3}{8}\right)^{30};\left(\frac{81}{256}\right)^{10}=\left(\frac{3^4}{4^4}\right)^{10}=\left(\frac{3}{4}\right)^{40}\)

Vì 3/8 <3/4 ; 30<40 nên \(\left(\frac{3}{8}\right)^{30}