Nếu đề là tính thì...

Đặt \(A=2+2^2+2^3+...+2^{100}\)

\(\Rightarrow2A=2^2+2^3+2^4+...+2^{101}\)

\(\Rightarrow2A-A=\left(2^2+2^3+...+2^{101}\right)-\left(2+2^2+...+2^{100}\right)\)

\(\Leftrightarrow A=2^{101}-2\)

Đặt A = 2 + 2² + 2³ + ... + 2¹⁰⁰

     2A = 2( 2 + 2² + 2³ + ... + 2¹⁰⁰ )

     2A = 2² + 2³ + ... + 2¹⁰¹

A = 2A - A

   =  2² + 2³ + ... + 2¹⁰¹ - ( 2 + 2² + 2³ + ... + 2¹⁰⁰ )

   = 2² + 2³ + ... + 2¹⁰¹ - 2 - 2² - 2³ - ... - 2¹⁰⁰

   = 2¹⁰¹ - 2

( 90 + 342 ) + ( 78 - 45 ) 

= 432 + 33 

= 465 

STUDY WELL ^^__^^

90 + 342 + 78 - 45 = 465

\(\frac{468abc}{abc}=2001\)

=> 468abc = 2001.abc

=> 468000 + abc = 2001.abc

=> 468000 = 2000.abc

=> abc = 234

=> a = 2 ; b = 3 ; c = 4

Bài làm:

Ta có: \(3^x+5.3^{x+2}=414\)

\(\Leftrightarrow3^x\left(1+5.3^2\right)=414\)

\(\Leftrightarrow3^x.46=414\)

\(\Leftrightarrow3^x=9=3^2\)

\(\Rightarrow x=2\)

3^x + 5 . 3^{x + 2} = 414

<=> 3^x + 5 . 3^x . 3² = 414

<=> 3^x ( 1 + 45 ) = 414

<=> 3^x . 46 = 414

<=> 3^x = 9

<=> 3^x = 3²

<=> x = 2

cái này là văn ý hả:D?

chai thuoc thu nho 

a) \(-\frac{2}{3}x=\left(-\frac{1}{2}\right)^2\)

\(\Leftrightarrow-\frac{2}{3}x=\frac{1}{4}\)

\(\Rightarrow x=-\frac{3}{8}\)

b) \(x\div\left(-\frac{2}{5}\right)^3=-\frac{2}{5}\)

\(\Leftrightarrow x=\left(\frac{2}{5}\right)^4\)

\(\Rightarrow x=\frac{16}{625}\)

c) \(2^x=32\)

\(\Leftrightarrow2^x=2^5\)

\(\Rightarrow x=5\)

d) \(\frac{16}{2^x}=2\)

\(\Leftrightarrow2^x=8=2^3\)

\(\Rightarrow x=3\)

e) \(\left(x-2\right)^2=9\)

\(\Leftrightarrow\orbr{\begin{cases}x-2=3\\x-2=-3\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x=-1\end{cases}}\)

a, \(-\frac{2}{3}x=\left(-\frac{1}{2}\right)^2\Leftrightarrow-\frac{2}{3}x=\frac{1}{4}\Leftrightarrow x=-\frac{3}{8}\)

b, \(\frac{x}{-2,5^3}=-\frac{2}{5}\Leftrightarrow5x=\frac{125}{4}\Leftrightarrow x=\frac{25}{4}\)

c, \(2^x=32\Leftrightarrow2^x=2^5\Leftrightarrow x=5\)

d, mk chưa hiểu đề lăm

e, \(\left(x-2\right)^2=9\Leftrightarrow\orbr{\begin{cases}x-2=3\\x-2=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=-1\end{cases}}}\)

a)\(\left(\frac{-2}{5}+\frac{1}{2}\right)^2=\left(\frac{1}{10}\right)^2=\frac{1}{100}\)

b)\(\frac{27^2.8^5}{6^6.32^3}=\frac{\left(3^3\right)^2.\left(2^3\right)^5}{6^6.\left(2^5\right)^3}=\frac{3^6.2^{15}}{6^6.2^{15}}=\frac{1}{2^6}=\frac{1}{64}\)

cậu có thể tham khảo bài làm trên đây ạ, chúc cậu học tốt^^

a,(-2/5+1/2)^2 = 1/10 ^2 = 1/100

b,27^2×8^5/ 6^6×32^3 = (3³)² . ( 2³)⁵ / 6⁶ . (2⁵)³

⁼ 3^6 . 2^15 / 6^6 . 2^15 

<=> 1/64

\(\left(\frac{-7}{2}\right)^2+\left(\frac{-3}{4}\right)^3.64-\left(\frac{-61}{5}\right)^0\)

\(=\frac{49}{4}+\frac{-27}{64}.64-1\)

\(=\frac{49}{4}-27-1\)

\(=\frac{-59}{4}-1\)

\(=\frac{-63}{4}\)

20 x 20 = 40                          95 x 10 = 950

3 x 97 = 291                           37 x 9 = 342

35 x 8 = 280                          970 x 2 = 1940

STUDY WELL ^^ __^^

20 x 20 = 400 

3 x 97 = 291

35 x 8 = 280

95 x 10 = 950

37 x 9 = 333

970 x 2 = 1940

Ai cao nhất ? 

- Mặt trời 

STUDY WELL ^^ __^^

nhắm giỏi đó