đổi lại tên nhé mình đánh nhầm 

Đặt \(A=4+4^2+4^3+...+4^{40}\)

\(4A=4^2+4^3+...+4^{41}\)

\(\Rightarrow4A-A=3A=4^{41}-4\)

\(\Rightarrow A=\dfrac{4^{41}-4}{3}\)

Tick mik nha

\(M=\left(100-1\right)\left(100-2^2\right)\left(100-3^2\right)...\left(100-50^2\right)\\ =\left(100-1\right)\left(100-2^2\right)\left(100-3^2\right)...\left(100-10^2\right)...\left(100-50^2\right)\\ =\left(100-1\right)\left(100-2^2\right)\left(100-3^2\right)...\left(100-100\right)...\left(100-50^2\right)\)

\(=\left(100-1\right)\left(100-2^2\right)\left(100-3^2\right)...0...\left(100-50^2\right)\\ =0\)

M = (100 – 1).(100 – 22). (100 – 32)…(100 – 502)

M = (100 – 1).(100 – 22). (100 – 32)… (100 – 92) .(100 – 102) .(100 – 112) …(100 – 502)

M = (100 – 1).(100 – 22). (100 – 32)… (100 – 92). (100 – 100) .(100 – 112) …(100 – 502)

M = (100 – 1).(100 – 22). (100 – 32)… (100 – 92) .0.(100 – 112) …(100 – 502)

M = 0

Vậy M = 0

\(\left(x+1\right)^2=\dfrac{81}{10}\\ =>x+1=\pm\sqrt{\dfrac{81}{10}}=\pm\dfrac{9}{\sqrt{10}}=\pm\dfrac{9\sqrt{10}}{10}\\ =>x=\dfrac{-10\pm9\sqrt{10}}{10}\)

\(\left(x+1\right)^2=\dfrac{81}{10}\)

<=>\(\left(x+1\right)=\pm\sqrt{\dfrac{81}{10}}\)

<=> \(\left[{}\begin{matrix}x=\dfrac{-10+9\sqrt{10}}{10}\\x=-\dfrac{10+9\sqrt{10}}{10}\end{matrix}\right.\)

a) x - 3/4 = -7/6

            x = -7/6 + 3/4

            x = -5/12

b) x + 5/6 = 1/12

             x = 1/12 - 5/6

             x = -9/12

c) 5/4  + x = 2/3

              x = 2/3 - 5/4

              x = -7/12

d) 5/3 - x = 3/7

            x = 5/3 - 3/7

            x = 26/21

a) \(x=-4\)

b) \(x=\dfrac{37}{28}\)

c) \(x=-\dfrac{7}{12}\)

d) \(x=\dfrac{23}{10}\)

a, x + 5/2 = -3/2

<=> x = -3/2 - 5/2

<=> x = -4

b, x - 4/7 = 3/4

<=> x = 3/4 + 4/7

<=> x = 37/28

c, 5/4 + x = 2/3

<=> x = 2/3 - 5/4

<=> x = -7/12

d, 4/5 - x = -3/2

<=> x = 4/5 + 3/2

<=> x = 23/10

Lời giải:

\(-0,25=\frac{-1}{4}< \frac{-1}{8}\)

\(0,75< 1< \frac{5}{4}\)

\(\frac{-171717}{232323}=\frac{-171717:10101}{232323:10101}=\frac{-17}{23}\)

a) -0,25 = -1/4
   => -1/4 < -1/8
b) 0,75 = 3/4
  => 3/4 < 5/4
c) -17/23 = -171717/232323

        A =          2¹⁰⁰ - 2⁹⁹ +2⁹⁸ - 2⁹⁷ +.....+2² -2

     2.A = 2¹⁰¹ - 2¹⁰⁰+2⁹⁹ - 2⁹⁸+2⁹⁷-........-2²

  2A + A=  2¹⁰¹ - 2

        3A = 2¹⁰¹ - 2

          A =( 2¹⁰¹ -  2):3

(2x - 3)³ = -64 

(2x - 3)³ = (-4)³

2x - 3 = -4

2x = -1

x = -1/2

D .DCCC

(4\100)

A sai  E sai