\(F=\frac{3}{4}\cdot\frac{8}{9}\cdot........\cdot\frac{9999}{1000}\)

\(F=\frac{1.3}{2.2}\cdot\frac{2.4}{3.3}\cdot....\cdot\frac{99.101}{100.100}\)

\(F=\frac{1}{2}.\frac{101}{100}=\frac{101}{200}\)

_Hắc phong_

\(\frac{3}{4}.\frac{8}{9}.....\frac{9999}{10000}\)

\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.....\frac{99.101}{100.100}\)

\(=\frac{1.2.3.....99}{2.3.4.....100}.\frac{3.4.5.....101}{2.3.4.....100}=\frac{1}{100}.\frac{101}{2}\)

\(=\frac{101}{200}\)

\(\text{a)}5\left(x+2\right)-4x=17\)

\(\Rightarrow5x+10-4x=17\)

\(\Rightarrow5x-4x=17-10\)

Vậy \(x=7\)

\(\text{b)}4x+5x-x+8=128\)

\(\Rightarrow8x+8=128\)

\(\Rightarrow8x=120\)

Vậy \(x=\frac{120}{8}=15\)

mik làm câu b nha

4x+5x-x+8=128

4x+5x-x=128-8

4x+5x-x=120

4x+5x-1x=120

x.(4+5-1)=120

x.8=120

x=120:8

x=15

=4^3.4^n=4^5

=4^5:4^3=4^2

vậy n=2

4^3.4^n=4^5

4^n=4^5:4^3

4^n=4^2

suy ra n=2

\(\left(4.3x-4\right)-2=18\)

\(\Rightarrow12x-4-2=18\)

\(\Rightarrow12x=24\Leftrightarrow x=2\)

(4.3x - 4) - 2 = 18

<=> 12x - 4 = 20

<=> 12x = 24

<=> x = 2

a, 21; 100; m+1

b, 11; 445; n+3

câu a m+1 vì liền trc: (m+2)-1=m+2-1=m+1

câu b n+3 vì liền sau: (n+3)+1=n+3+1=n+4

a, |0,75 - x| = 2,5

=> 0,75 - x = 2,5 hoặc 0,75 - x = -2,5

=> x = -1,75 hoặc x = 3,25

vậy_

\(|0,75-x|=2,5\)

\(\Rightarrow\hept{\begin{cases}0,75-x=2,5\\0,75-x=-2,5\end{cases}\Rightarrow\hept{\begin{cases}x=-1,75\\x=3,25\end{cases}}}\)

\(A=8^2x32^4\)

\(A=\left(2^3\right)^2x\left(2^5\right)^4\)

\(A=2^6x2^{20}\)

\(A=2^{26}\)

A = \(\left(2^3\right)^2\)x \(\left(2^5\right)^4\)= \(2^6.2^{20}\)=\(2^{6+20}=2^{26}\)

C = \(\left(5^2\right)^3\) x\(\left(5^3\right)^2\)=\(5^6\)x\(5^6\)=\(5^{6+6}=5^{12}\)

Trả lời

a)2/3.x+5/7=3/10

   2/3x        =3/10-5/7

   2/3x        =29/70

        x        =29/70:2/3

        x        =87/140

b)3/4.x-1/2=3/7

   3/4x        =3/7+1/2

   3/4x        =13/14

        x        =13/14:3/4

        x        =52/42=26/21

2/3.x+5/7=3/10

2/3 . x         = 3/10 - 5/7

2/3 . x         = - 29/70

x                = - 29/70 ÷ 2/3

x                = - 87/140

3/4 . x - 1/2 = 3/7

3/4 . x       = 3/7 + 1/2

3/4 . x       = 13/14

x              =13/14 ÷ 3/4

x              =26/21