Ta có :
276 = ( 33 )6 = 318 = 32 . 316 = 9 . 316
vì 9 . 316 > 6 . 316 nên 276 > 6 . 316
Ta có:
\(27^6=\left(3^3\right)^6=3^{18}=3.3^{17}\)
\(6.3^{16}=2.3^{17}\)
Vì: \(3^{17}=3^{17},3>2\)
\(\Rightarrow27^6>6.3^{16}\)
276 va 6.316
(273)2=81^2
6.316=1816=(18^9)^2=162^2
vì 81^2<162^2
suy ra 27^6<6.3^16