a)    \(A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}\)

\(=1+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+\frac{1}{2^5}+\frac{1}{2^6}+\frac{1}{2^7}\)

\(\Rightarrow\)\(2A=2+1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+\frac{1}{2^5}+\frac{1}{2^6}\)

\(\Rightarrow\)\(2A-A=\left(2+1+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^6}\right)-\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^7}\right)\)

\(\Leftrightarrow\)\(A=2-\frac{1}{2^7}=\frac{255}{128}\)

b)  \(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{19.21}\)

\(=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\right)\)

\(=\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{21}\right)\)

\(=\frac{1}{2}.\frac{2}{7}=\frac{1}{7}\)

hâm rồi à gia linh

a: 3/8=36/96

5/12=40/96

b: -2/9=-24/108

-5/12=-45/108

c: -3/16=-63/336

-5/24=-70/336

-21/56=-126/336

\(\dfrac{26}{81}+\dfrac{4}{27}=\dfrac{26+12}{81}=\dfrac{38}{81}\)

\(\dfrac{5}{64}+\dfrac{7}{8}=\dfrac{5+56}{64}=\dfrac{61}{64}\)

\(\dfrac{26}{81}+\dfrac{4}{27}=\dfrac{26}{81}+\dfrac{4\times3}{27\times3}=\dfrac{26}{81}+\dfrac{12}{81}=\dfrac{38}{81}\)

\(\dfrac{5}{64}+\dfrac{7}{8}=\dfrac{5}{64}+\dfrac{7\times8}{8\times8}=\dfrac{5}{64}+\dfrac{56}{64}=\dfrac{61}{64}\)

a) 3⁸ : 3⁶ = 3²; 

2¹⁰ : 8³ = 2¹⁰ : 2⁹ = 2; 

12⁷ : 6⁷ = 2¹⁴. 3⁷ : 2⁷. 3⁷ = (2¹⁴ : 2⁷). (3⁷ : 3⁷) = 2⁷;

21⁵  : 81³ = 3⁵. 7⁵ : 3¹² = 3^-7. 7⁵;

b) 5⁸ : 25² = 5⁸ : 5⁴ = 5⁴;

4⁹ : 64² = 2¹⁸ : 2¹² = 2⁶;

2²⁵ : 32⁴ = 2²⁵ : 2²⁰ = 2⁵

Thấy đúng thì cho mình đúng nha!!! Cảm ơn các bạn!!! 

Bài 1: Tính 

a) 3⁸ : 3⁶           b) 2¹⁰ : 8³          c) 12⁷ : 6⁷                          d) 21⁵ : 81³                    e) 5⁸ : 25²            g) 4⁹ : 64²                 h) 2²⁵ : 32⁴

= 6561: 729     = 1024: 512     = 35831808 : 279936    = 4084101:531441     = 390625 : 625   = 262144: 4096     = 33554432: 1048576

= 9                   = 2                   = 128                             = 7. 684956561          = 625                  = 64                       = 32

                                                                                      = 7,68 

~ Hắc Tử Nguyệt Phong ~ nhìn rối quá bạn à.

a: \(\left(-17\right)+5+\left(-8\right)+17\)

\(=\left(-17+17\right)+\left(5-8\right)\)

=0-3

=-3

b: \(\left(-9\right)+\left(-11\right)+21+\left(-1\right)\)

\(=\left(-9-1\right)+\left(21-11\right)\)

=10-10

=0

c: \(15+23+\left(-25\right)+\left(-23\right)\)

\(=\left(15-25\right)+\left(23-23\right)\)

=-10+0

=-10

d: \(\left(-3\right)+\left(-350\right)+\left(-7\right)+350\)

\(=\left(-3-7\right)+\left(-350+350\right)\)

=-10+0

=-10

e: \(\left(-3\right)+\left(-250\right)+\left(-7\right)+250\)

\(=\left(-3-7\right)+\left(-250+250\right)\)

=-10+0

=-10

f: \(\left(-4\right)+\left(-440\right)+\left(-6\right)+440\)

\(=\left(-4-6\right)+\left(-440+440\right)\)

=-10+0

=-10

g: \(483+\left(-56\right)+263+\left(-64\right)\)

\(=\left(483+263\right)+\left(-56-64\right)\)

\(=746-110=636\)

h: \(215+43+\left(-215\right)+\left(-25\right)\)

\(=\left(215-215\right)+\left(43-25\right)\)

=0+18

=18

a. (-17) + 5 + (-8) + 17

= [5 + (-8)] + [(-17) + 17]

= -3

b. (-9) + (-11) + 21 + (-1)

= [(-9) + (-1)] + [21 + (-11)]

= -10 + 10

= 0

c. 15 + 23 + (-25) + (-23)

= [15 + (-25)] + (23 - 23)

= -10

d. (-3) + (-350) + (-7) + 350

= [(-3) + (-7)] + [(-350) + 350]

= -10

e. (-3) + (-250) + (-7) + 250

= [(-3) + (-7)] + [(-250) + 250]

= -10

f. (-4) + (-440) + (-6) + 440

= [(-4) + (-6)] + [(-440) + 440]

= -10

g. 483 + (-56) + 263 + (-64)

= (483 + 263) + [(-56) + (-64)]

= 746 + (-120)

= 626

h. 215 + 43 + (-215) + (-25)

= [215 + (-215)] + [43 + (-25)]

= 18

a) (-17) + 5 + (-8) + 17

= [5 + (-8)] + [(-17) + 17]

= -3

b) (-9) + (-11) + 21 + (-1)

= [(-9) + (-1)] + [21 + (-11)]

= -10 + 10

= 0

c) 15 + 23 + (-25) + (-23)

= [15 + (-25)] + (23 - 23)

= -10

d) (-3) + (-350) + (-7) + 350

= [(-3) + (-7)] + [(-350) + 350]

= -10

e) (-3) + (-250) + (-7) + 250

= [(-3) + (-7)] + [(-250) + 250]

= -10

f) (-4) + (-440) + (-6) + 440

= [(-4) + (-6)] + [(-440) + 440]

= -10

g) 483 + (-56) + 263 + (-64)

= (483 + 263) + [(-56) + (-64)]

= 746 + (-120)

= 626

h) 215 + 43 + (-215) + (-25)

= [215 + (-215)] + [43 + (-25)]

= 18

a) \(\left|x\right|-\frac{7}{6}=\frac{9}{15}\)

=> \(\left|x\right|=\frac{9}{15}+\frac{7}{6}=\frac{53}{30}\)

=> \(\orbr{\begin{cases}x=\frac{53}{30}\\x=-\frac{53}{30}\end{cases}}\)

b) \(\left|x-\frac{4}{3}\right|=\frac{1}{6}\)

=> \(\orbr{\begin{cases}x-\frac{4}{3}=\frac{1}{6}\\x-\frac{4}{3}=-\frac{1}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=\frac{7}{6}\end{cases}}\)

c) \(\left|x-\frac{4}{3}\right|-\frac{1}{3}=\frac{1}{2}\)

=> \(\left|x-\frac{4}{3}\right|=\frac{1}{2}+\frac{1}{3}\)

=> \(\left|x-\frac{4}{3}\right|=\frac{5}{6}\)

=> \(\orbr{\begin{cases}x-\frac{4}{3}=\frac{5}{6}\\x-\frac{4}{3}=-\frac{5}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{13}{6}\\x=\frac{1}{2}\end{cases}}\)

d) \(\frac{8}{3}-\left|\frac{7}{9}-x\right|=-\frac{1}{5}\)

=> \(\left|\frac{7}{9}-x\right|=\frac{43}{15}\)

=> \(\orbr{\begin{cases}\frac{7}{9}-x=\frac{43}{15}\\\frac{7}{9}-x=-\frac{43}{15}\end{cases}}\Rightarrow\orbr{\begin{cases}x=-\frac{94}{45}\\x=\frac{164}{45}\end{cases}}\)

e) \(\left|x-\left(\frac{1}{4}\right)^2\right|-\frac{25}{64}=0\)

=> \(\left|x-\frac{1}{16}\right|=\frac{25}{64}\)

=> \(\orbr{\begin{cases}x-\frac{1}{16}=\frac{25}{64}\\x-\frac{1}{16}=-\frac{25}{64}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{29}{64}\\x=-\frac{21}{64}\end{cases}}\)

f) \(\left(x-\frac{1}{4}\right)^2+\frac{17}{64}=\frac{21}{32}\)

=> \(\left(x-\frac{1}{4}\right)^2=\frac{25}{64}\)

=> \(\left(x-\frac{1}{4}\right)^2=\left(\frac{5}{8}\right)^2\)

=> \(\orbr{\begin{cases}x-\frac{1}{4}=\frac{5}{8}\\x-\frac{1}{4}=-\frac{5}{8}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{7}{8}\\x=-\frac{3}{8}\end{cases}}\)

\(x\) x 5 + \(x\) : 4 x 8 + \(x\)= 21 x 64

\(x\) x 5 + \(x\) x 2 + \(x\) = 1344

\(x\) x (5 + 2 + 1) = 1344

\(x\) x 8 = 1344

Ai k mk mk k lại gấp đôi!

x = 168

x*5+x:4*8+x=21*64

x*5+x*2+x=1344

x*(5+2+1)=1344

x*8=1344

x=168

x=168