\(25^{118}=\left(5^2\right)^{118}=5^{236}\)
\(125^{80}=\left(5^3\right)^{80}=5^{240}\)
Vì 236<240 suy ra \(5^{236}< 5^{240}\Leftrightarrow25^{118}< 125^{80}\)
\(25^{118}=\left(5^2\right)^{118}=5^{236}\)
\(125^{80}=\left(5^3\right)^{80}=5^{240}\)
vi \(5^{236}< 5^{240}\) nen \(25^{118}< 125^{80}\)
25118 = (52)118 = 5236
12580 = (53)80 = 5280
Vì 5236 < 5280 nên 25118 < 12580
25118=(52)118=5236
12580=(53)80=5240
=> 5236< 5240( vì 236<240)
Ta có :
\(25^{118}=\left(5^2\right)^{118}=5^{236}\)
\(125^{80}=\left(5^3\right)^{80}=5^{240}\)
Vì \(5^{236}< 5^{240}\Rightarrow25^{18}< 125^{80}\)
Ta có:\(25^{118}=\left(5^2\right)^{118}=5^{236}\)
Ta có:\(125^{80}=\left(5^3\right)^{80}=5^{240}\)
VÌ 236<240\(\Rightarrow\)\(5^{236}< 5^{240}\Rightarrow25^{118}< 125^{80}\)