Question

so sánh 999¹⁰và 999999⁵

Answer 1

\(\text{Ta có : }999^{10}=\left(999^2\right)^5=998001^5\)

\(\text{Vì }998001^5< 999999^5\)

\(\Rightarrow999^{10}< 999999^5\left(đpcm\right)\)

Hk tốt

Answer 2

\(Ta \ có :\)

\(999^{10}=(999^2)^5=998001^5\)

Mà \(998001< 999999\)nên \(999^{10}< 999999^5(đpcm)\)

Hok tốt :>

Answer 3

Ta có: \(999^{10}=\left(999^2\right)^5=\left(999.999\right)^5\)

           \(999999^5=\left(999.1001\right)^5\)

Vì \(999< 1001\)\(\Rightarrow\left(999.999\right)^5< \left(999.1001\right)^5\)

hay \(999^{10}< 999999^5\)