\(\left(2x-1\right)^5-27\left(2x-1\right)^2=0\)

\(\left(2x-1\right)^2\left[\left(2x-1\right)^3-27\right]=0\)

\(\orbr{\begin{cases}\left(2x-1\right)^2=0\\\left(2x-1\right)^3=27\end{cases}}\)

\(\orbr{\begin{cases}2x-1=0\\2x-1=3\end{cases}}\)

\(\orbr{\begin{cases}x=\frac{1}{2}\\x=2\end{cases}}\)

\(2007⋮3\Rightarrow2007^{12}⋮3\)

\(2016⋮3\Rightarrow2016^{20}⋮3\)

Vậy \(C=2007^{12}+2016^{20}⋮3\)

Mà C > 3 nên C là hợp số.

Ta thấy:

 \(7.8.9.10⋮\)5

  \(2.3.4.5⋮\)5

\(\Rightarrow7.8.9.10-2.3.4.5⋮5\)

\(\Rightarrow H⋮5\)

\(\Rightarrow H\)là hợp số

5⁴⁰và 620¹⁰

Ta có: 50⁴⁰=(5⁴)¹⁰=625¹⁰

Vì 625>620

=> 625¹⁰<620¹⁰

Vậy 5⁴⁰<620¹⁰

a) \(5^{40}=\left(5^4\right)^{10}=625^{10}\)

Vì \(625^{10}>620^{10}\Rightarrow5^{40}>620^{10}\)

b) \(7^{300}=\left(7^2\right)^{150}=49^{150}\)

\(5^{450}=\left(5^3\right)^{150}=125^{150}\)

Vì \(49^{150}< 125^{150}\Rightarrow7^{300}< 5^{450}\)

c) \(333^{444}=\left(111.3\right)^{444}=111^{444}.3^{444}=111^{444}.\left(3^4\right)^{111}=111^{444}.81^{111}\)

\(444^{333}=\left(111.4\right)^{333}=111^{333}.4^{333}=111^{333}.\left(4^3\right)^{111}=111^{333}.64^{111}\)

Vì \(111^{444}.81^{111}>111^{333}.64^{111}\Rightarrow333^{444}>444^{333}\)

175899

ngão nghệ ko phải ngoạn nghễ nha bạn

Vua Hùng thứ 18 có một người con gái xinh đẹp tuyệt trần tên là Mị Nương một người chồng xứng đáng.

Mị Nương càng lớn càng đẹp. Đến tuổi trăng rằm, không biết bao nhiêu chàng trai dòng dõi mông được lấy nàng làm vợ. Tiếng tăm về người con gái đẹp người đẹp nết vang xa tới tận núi Tản Viên, nơi Sơn Tinh, vị thần của núi và đất sinh sống........................Đoạn còn lại từ suy nghĩ đi nhé !!! * _ *

When finding somewhere to escape from the hustle and bustle of life, my bedroom is always an ideal place. My bedroom is on the second floor. It is not exactly a large room but it is spacious enough to become my private world. It is a fully-furnished room with a single bed on the left and a wardrobe on the right corner. And there stands a wood table with a shelf that contains many interesting books and is decorated with lots of souvenirs and birthday gifts on the left corner. With two small windows on the two sides of the room, I use bright color tone for the wall to make my bedroom airier and warmer. My childhood memories is coupled with every corner of the room. In my deep thoughts, it is not only a place where greets me after strained long hours at work, brings me sweet dreams but also a friend that witnesses maturity in every step of my daily life. My bedroom- a small room but unintentionally becomes a vital piece in my whole life.

Hok tốt

# MissyGirl #

Everyday after finishing my personal schedule outside, I incontinently come back home to get into my dream world - my room. It is a spacious room right next to the stairs. The thing I most is the balcony looking over a small garden. The walls are covered with wallpapers in my favorite flowery pattern. On the window there are blinds to prevent light from coming into the room in the early morning. I also put some tiny houseplant in order to purify the atmosphere. A single bed together with a bedside table full of cosmes is placed in the corner next to the window. On the opposite side stands my little bookshelf full of novels and comic books. There is also vacuum cleaner to keep the room in neat and tidy condition all the time. This room has become my greatest adoration because of the convenience and privacy it brings about.

A=3+3^2+3^3+3^4+...+3^9 
=(3+3^2+3^3) + 3^3(3+3^2+3^3)+3^6(3+3^2+3^3) 
=(3+3^2+3^3).(1+3^3+3^6) 
=3(1+3+3^2)(1+3^3+3^6) 
=3.13.(1+3^3+3^6) chia hết cho 13 

\(A=\left(3+3^2+3^3\right)+...+\left(3^7+3^8+3^9\right)\)

\(=3\left(1+3+3^2\right)+.....+3^7\left(1+3+3^2\right)\)

\(=13\left(3+3^4+3^7\right)⋮13\left(đpcm\right)\)