[tex]\it 2^{217}=2^{7\cdot31}=(2^7)^{31}=128^{31}>125^{31}=(5^3)^{31}=5^{3\cdot31}=5^{93}>5^{92}[/tex]
2²¹⁷ > 5⁹² propozitia este adevarata
descompunem puterile
217 = 7×31
92 = 3×31
2²¹⁷ = (2⁷)³¹ = 128³¹
5⁹² = (5³)³¹ = 125³¹
128³¹ > 125³¹
