Question

[Lê Bảo Ngân]

so sánh : 2004 ¹⁰ +2004⁹ và 2005¹⁰

ai đúng mik tick cho

Answer 1

[Zinyami]

+) \(2004^{10}+2004^9\)

\(=2004^9\left(2004+1\right)=2004^9.2005\)

+) \(2005^{10}=2005^9.2005\)

Mà \(2005^9>2004^9\)

\(\Rightarrow2004^{10}+2004^9< 2005^{10}\)

Answer 2

[Cao Thiên Ngân]

${2004}^{10}+{2004}^9={2004}^9\left(2004+1\right)$
$={2004}^9.2005<{2005}^9.2005={2005}^{10}$
Nên ${2004}^{10}+{2004}^9<{2005}^{10}$