Question

 so sánh : 999¹⁰ và 999999⁵

Answer 1

Ta có 999¹⁰=(999²)⁵=998001⁵

Mà 998001< 999999 

Nên 999¹⁰ < 999999⁵.

Answer 2

999¹⁰=9.004488e+29

999999⁵=9.999995e+29 

mà 9.004488e+29 < 9.999995e+29 

=> 999^10 < 999999^5

Answer 3

Ta có \(999^{10}=\left(9.111\right)^{10}\)\(=9^{10}.111^{10}=9^5.9^5.\left(111^2\right)^5=9^5.\left(9.111^2\right)^5=9^5.110889^5\)

\(999999^5=9^5.111111^5\)

Vì 110889<111111 nên \(999^{10}< 999999^5\)