Question

So sánh

3²⁰⁰⁹ & 9¹⁰⁰⁵

Answer 1

ta có 9¹⁰⁰⁵=(3²)¹⁰⁰⁵=3²⁰¹⁰

vì 2009<2010

=> 3²⁰⁰⁹< 3²⁰¹⁰

hay 3²⁰⁰⁹ <9¹⁰⁰⁵

Answer 2

Ta có : \(9^{1005}=\left(3^2\right)^{1005}=3^{2010}\)

Vì : 2009 < 2010 nên \(3^{2009< }3^{2010}\)

Vậy \(3^{2009}< 9^{1005}\)