Cô Mến ơi phải Toán lớp 6 không

dấu chấm là phép nhân . trên 2 là bình phương ý là nhân tiếp với số bên trái

\(C=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{199.200}\)

\(\Rightarrow C=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{199}-\frac{1}{200}\)

\(\Rightarrow C=\frac{1}{2}-\frac{1}{200}\)

\(\Rightarrow C=\frac{99}{200}\)

\(C=\frac{1}{2}x\frac{3}{4}x\frac{4}{5}x......x\frac{199}{200}\)

\(C=\frac{1x3x4x......x199}{2x4x5x......200}\)

\(C=\frac{1x3}{2}\)

\(C=\frac{3}{2}\)

\(x^n=0\Leftrightarrow\hept{\begin{cases}x=0\\n\in N\end{cases}}\)

nếu xⁿ=0

n thuộc N*

=>x=0

\(=\frac{4102}{10255}\)

4116-14/10290-35 = 2/5

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

\(\Rightarrow2x-1=3\)

     \(2x=3+1\)

  \(2x=4\)

 \(x=4:2=2\)

( 1/2 ) 2x -1= ( 1/2 ) 3 

2x - 1 =3 

2x = 3+1

2x=4

x= 4:2 = 2

\(\frac{2}{1.2}+\frac{2}{2.3}+\frac{2}{3.4}+...+\frac{2}{99.100}\)

\(=2.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\right)\)

\(=2.\left(1-\frac{1}{100}\right)\)

\(=2.\frac{99}{100}\)

\(=\frac{99}{50}\)

\(\frac{2}{1.2}+\frac{2}{2.3}+...+\frac{2}{99.100}\)

\(=2.\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{99.100}\right)\)

\(=2.\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\right)\)

\(=2.\left(\frac{1}{1}-\frac{1}{100}\right)\)

\(=2.\frac{99}{100}\)

\(=\frac{99}{50}\)