Question

So sánh : 2¹⁰¹ và 5³⁹

Answer 1

Ta có:

2^101 > 2^100 = (2^5)^20 = 32^20

5^39 < 5^40 = (5^2)^20 = 25^20

Do 32^20 > 25^20

=> 2^101 > 5^39

Answer 2

\(2^{101}< 2^{100}\Leftrightarrow\left(2^5\right)^{20}=32^{20}\)

\(5^{39}< 5^{40}\Leftrightarrow\left(5^2\right)^{20}=25^{20}\)

Do \(32^{20}>25^{20}\)

nên \(2^{101}>5^{39}\)

Vậy \(2^{101}>5^{39}\)