\(20092009^{10}\)lớn hơn \(2009^{20}\)

2009200910>200920" role="presentation" style="background-color:rgb(252, 252, 255); border:0px; color:rgb(0, 0, 255); direction:ltr; display:inline-table; float:none; font-family:open sans,sans-serif; font-size:15px; line-height:normal; margin:0px; max-height:none; max-width:none; min-height:0px; min-width:0px; padding:0px; position:relative; white-space:nowrap; word-wrap:normal" class="MathJax">10001>2009⟹10001.2009>2009.2009⟹2009200910>200920

2009200910>200920" role="presentation" style="background-color:rgb(252, 252, 255); border:0px; color:rgb(0, 0, 255); direction:ltr; display:inline-table; float:none; font-family:open sans,sans-serif; font-size:15px; line-height:normal; margin:0px; max-height:none; max-width:none; min-height:0px; min-width:0px; padding:0px; position:relative; white-space:nowrap; word-wrap:normal" class="MathJax">10001>2009⟹10001.2009>2009.2009⟹2009200910>200920

\(\dfrac{2009}{2010}=\dfrac{2009\cdot10001}{2010\cdot10001}=\dfrac{20092009}{20102010}\)

\(\dfrac{2009}{2010}=\dfrac{20092009}{20102010}\)

2009²⁰= (2009²)¹⁰= 4036081¹⁰

Vì 4 036 081 < 20 092 009

Nên 4036081¹⁰ < 20092009¹⁰ hay 2009²⁰ < 20092009¹⁰

sunegikesoxaheeiypo

tên ai đây

2009^20>2009x2009^10

vì 2009^20>2009^11( do 2009 x 2009^10 = 2009^11)

                                                      Bài giải

\(2009^{20}=\left(2009^2\right)^{10}=4036081^{10}< 20092009^{10}\)

\(\Rightarrow\text{ }2009^{20}< 20092009^{10}\)

Ta có:

20092009^10=(2009.10001)^10

=2009^10.10001^10>2009^10.2009^10=2009^(10+10)=2009^20

do đó 2009^10.10001^10>2009^20

hay 20092009^10>2009^20

Nhớ ****

Ta có \(2009^{20}=\left(2009^2\right)^{10}=4036081^{10}\)

So sánh hai cơ số thì 4036081<20092009

Nên \(4036081^{10}<20092009^{10}\)

Vậy \(2009^{20}<20092009^{10}\)

\(2009^{20}=\left(2009^2\right)^{10}=4036081^{10}\)

Vì \(4036081< 20092009\)nên\(4036081^{10}< 20092009^{10}\)

Vậy \(2009^{20}< 20092009^{10}\)

2009²⁰ = (2009²)¹⁰ = (2009.2009)¹⁰

20092009¹⁰ = (2009.10 001)¹⁰

Vì 2009.2009 < 2009. 10 001 nên 2009²⁰ < 20092009¹⁰

20092009¹⁰=(2009.10001)¹⁰=2009¹⁰.10001¹⁰(1)

2009²⁰=(2009²)¹⁰=(2009.2009)¹⁰=2009¹⁰.2009¹⁰(2)

từ (1) và (2) => 20092009¹⁰ > 2009²⁰

ta có 

2009²⁰ = (2009²)¹⁰ = (2009.2009)¹⁰

20092009¹⁰ = (2009.10 001)¹⁰

Vì 2009.2009 < 2009. 10 001 nên 2009²⁰ < 20092009¹⁰

Ta có :

\(2009^{20}=\left(2009^2\right)^{10}=\left(2009.2009\right)^{10}

Ta có:

> 2009²⁰ = (2009²)¹⁰ = (2009.2009)¹⁰

>  20092009 = ( 2009.10.001)¹⁰

Vì (2009.2009)¹⁰ < (2009.10.001 )¹⁰ nên 2009²⁰ < 20092009¹⁰

Có: \(2009^{20}=2009^{2.10}=\left(2009^2\right)^{10}=4036081^{10}\)

mà \(4036081< 20092009\)

    \(\Rightarrow4036081^{10}< 20092009^{10}\)

     hay \(2009^{20}< 20092009^{10}\)

Vậy \(2009^{20}< 20092009^{10}\)

> nha 030

2009²⁰ > 20092009¹⁰ !!!
Học tốt !!!