Question

so sanh

2²⁴va 3¹⁶

99²⁰va 9999¹⁰

2⁹¹va 5³⁵

Answer 1

2^24 = (2^3)^8 = 8^8

3^16 = (3^2)^8 = 9^8

Vì 8^8 < 9^8 => 2^24 < 3^16

99^20 = 99^10 . 99^10 < 99^10 . 101^110 = (99.101)^10 = 9999^10

=> 99^20 < 9999^10

2^91 = (2^13)^7 = 8192^7

5^35 = (5^5)^7 = 3125^7

Vì 8192^7 > 3125^7 => 2^91 > 5^35

k mk nha

Answer 2

\(2^{24}=\left(2^3\right)^8=8^8\)  ;       \(3^{16}=\left(3^2\right)^8=9^8\)=> \(2^{24}< 3^{16}\)\(99^{20}=\left(99^2\right)^{10}=9801^{10}\)=> \(99^{20}< 9999^{10}\)​​