Question

So sanh : 999^10 va99^100

Answer 1

Ta thấy :

99¹⁰⁰=99^10x10=(99¹⁰)¹⁰

Mà 99¹⁰ > 999 . Vậy 99¹⁰⁰>999¹⁰

Answer 2

\(99^{10}=\left(9^2\right)^{50}=9801^{50}\)

\(9801^{50}>999^{10}\Rightarrow999^{10}

Answer 3

Ta có :

\(99^{100}=\left(99^{10}\right)^{10}\) và \(999^{10}\)

Dễ thấy \(99^{10}>999\)

Vậy \(999^{10}