Question

[Lê Quý Vượng]

so sánh

\(125^{17}\) và \(625^{13}\)

\(8^{43}\) và \(28^{32}\)

Answer 1

[IamnotThanhTrung]

125¹⁷ \(=\left(5^3\right)^{17}=5^{51}\)

\(625^{13}=\left(5^4\right)^{13}=5^{52}\)

Ta có:

5⁵¹ < 5⁵²

\(\Rightarrow\) 125¹⁷ < 625¹³