Question

So sánh :

               \(99^{20}\) và \(9999^{10}\)

 

Answer 1

Ta có:

\(99^{20}=\left(99^2\right)^{10}=9801^{10}< 9999^{10}\)

Vậy \(99^{20}< 9999^{10}\)

Answer 2

Vì 9999 > 9900 nên 9999¹⁰ > (9900¹⁰)

Mà 9900 = 99.100, do đó:

99.100 > 99.99 \(\Rightarrow\) 99.100 > 99²

\(\Rightarrow\) 9900¹⁰ > (99²)¹⁰

^{\(\Rightarrow\)}9900¹⁰ > 99²⁰

Vậy 9999¹⁰ > 99²⁰

Answer 3

help vs mí bạn

Answer 4

Ta có:

\(99^{20}=\left(99^2\right)^{10}=9801^{10}\)

Do 9801<9999 nên \(9801^{10}< 9999^{10}\)

Hay\(99^{20}< 9999^{10}\)