A = 8 - 8² + 8 + 8³ + 8⁴+ ......+ 8⁹⁹

        A = ( 8 - 8 ) + ( 8² + 8³ + 8⁴ +......+ 8⁹⁹ )

        A = 8² + 8³ + 8⁴ +......+ 8⁹⁹

       8A = 8³ + 8⁴ + 8⁵ +.......+ 8¹⁰⁰ 

  8A - A = ( 8³ + 8⁴ +...+ 8¹⁰⁰ ) - ( 8² + 8³ + ...+ 8⁹⁹ )

       7A = 8¹⁰⁰ - 8²

    => A = \(\frac{8^{100}-8^2}{7}\)

VẬY, \(A=\frac{8^{100}-8^2}{7}\)

a. x : 13/16 = 5/-8

    x : 13/16 = -5/8

    x             = -5/8 . 13/16

    x             = -65/128

b.

x . \(\dfrac{-14}{28}\) = \(\dfrac{6}{-9}\) - \(\dfrac{2}{15}\)

x . \(\dfrac{-14}{28}\) = \(\dfrac{-9}{6}\) - \(\dfrac{2}{15}\)

x . \(\dfrac{-14}{28}\) = \(\dfrac{-49}{30}\)

x            = \(\dfrac{-49}{30}\) : \(\dfrac{-14}{28}\)

x            = \(\dfrac{-49}{30}\) . \(\dfrac{-28}{14}\)

x            = \(\dfrac{-49}{15}\)

( 8,27 + 9,33 + 7,16 ) - ( 7,27 + 8,33 +6,16 )

= (17,60 + 7,16 ) - ( 16,60 + 6,16 )

= 24 , 76 - 22 , 76

= 2

 ( 8,27 + 7,16 + 9,33 ) - ( 7,27 + 6,16 + 8,33 )  

= (8,27 + 9,33 + 7,16) - (7,27 + 8,33 + 6,16)

= (17,6 + 7,16) - (15,6 + 6,16)

=  24,76 - 21,76

= 3

 ( 8,27 + 7,16 + 9,33 ) - ( 7,27 + 6,16 + 8,33 )  

= (8,27 + 9,33 + 7,16) - (7,27 + 8,33 + 6,16)

= (17,6 + 7,16) - (15,6 + 6,16)

=  24,76 - 21,76

= 3

329,5+329,5+329,5+7 x 329,5-329,5:0,1

=329,5 x 3+329,5 x 7-329,5 x 10

=329,5 x (3+7-10)

=329,5 x 0

=0

=3,5x4+4x6,5

=(3,5+6,5)x4

=10x4

=40

= 3,5 x 4 + 4 x 6,5

=4 x (3,5 + 6,5)

=4 x 10

=40

3,5 x 4 + 4 x 6,5

= ( 3,5 + 6,5) x 4 

= 10 x 4

= 40 

k mk nha

37,25x42,1+37,25x56,9+37+0,25

= 37,25x42,1+37,25x56,9+37,25

= 37,25x(42,1+56,9+1)

= 37,25x100

=3725

37,25 x 42,1 + 37,25 x 56,9 + 37 + 0,25

= 37,25 x 42,1 + 37,25 x 56,9 + ( 37 + 0,25 ) x 1

= 37,25 x 42,1 + 37,25 x 56,9 + 37,15 x 1

= 37,25 x ( 42,1 + 56,9 + 1 )

= 37,25 x 100

= 3725

= 37,25 (42,1 + 56,9 + 1)

= 37,25 * 100

= 3725

\(d,\dfrac{5}{7}+\dfrac{9}{23}+-\dfrac{12}{7}+\dfrac{14}{23}\)

\(=\left(\dfrac{5}{7}+\dfrac{-12}{7}\right)+\left(\dfrac{9}{23}+\dfrac{14}{23}\right)\)

\(=-\dfrac{7}{7}+\dfrac{23}{23}\)

\(=\left(-1\right)+1=0\)

\(e,\dfrac{3}{17}+-\dfrac{5}{13}+-\dfrac{18}{35}+\dfrac{14}{17}+\dfrac{17}{-35}+-\dfrac{8}{13}\)

\(=\left(\dfrac{3}{17}+\dfrac{14}{17}\right)+\left(\dfrac{-5}{13}+\dfrac{-8}{13}\right)+\left(\dfrac{-18}{35}+\dfrac{-17}{35}\right)\)

\(=\dfrac{17}{17}+\dfrac{-13}{13}+-\dfrac{35}{35}\)

\(=1+\left(-1\right)+\left(-1\right)=0+\left(-1\right)=-1\)

\(f,\dfrac{-3}{8}. \dfrac{1}{6}+\dfrac{3}{-8}.\dfrac{5}{6}+\dfrac{-10}{16}\)

\(=\dfrac{-3}{8}.\dfrac{1}{6}+\dfrac{-3}{8}.\dfrac{5}{6}+\dfrac{-10}{16}\)

\(=\dfrac{-3}{8}.\left(\dfrac{1}{6}+\dfrac{5}{6}\right)+-\dfrac{10}{16}\)

=\(\dfrac{-3}{8}.1+\dfrac{-10}{16}\)

\(=\dfrac{-3}{8}+\dfrac{-10}{16}\)

\(=\dfrac{-6}{16}+\dfrac{-10}{16}=\dfrac{-16}{16}=-1\)

\(g,\dfrac{-4}{11}.\dfrac{5}{15}.\dfrac{11}{-4}=\dfrac{-4}{11}.\dfrac{5}{15}.\dfrac{-11}{4}\)

\(=\left(\dfrac{-4}{11}.\dfrac{-11}{4}\right).\dfrac{5}{15}\)

\(=1.\dfrac{5}{15}=1.\dfrac{1}{3}=\dfrac{1}{3}\)

\(h,\dfrac{7}{36}-\dfrac{8}{-9}+\dfrac{-2}{3}=\dfrac{7}{36}-\dfrac{-8}{9}+\dfrac{-2}{3}\)

\(=\dfrac{7}{36}-\dfrac{-32}{36}+\dfrac{-24}{36}=\dfrac{7-\left(-32\right)+\left(-24\right)}{36}\)

\(=\dfrac{15}{56}=\dfrac{5}{12}\)

Tick mình nha ^^

d.\(\dfrac{5}{7}\)+\(\dfrac{9}{23}\)+\(\dfrac{12}{7}\)+\(\dfrac{14}{23}\)=(\(\dfrac{5}{7}\)+\(\dfrac{12}{7}\))+(\(\dfrac{9}{23}\)+\(\dfrac{14}{23}\))

                            =\(\dfrac{17}{7}\)+ 1 = \(\dfrac{24}{7}\)

e.\(\dfrac{3}{17}\)+\(\dfrac{-5}{13}\)+\(\dfrac{-18}{35}\)+\(\dfrac{14}{17}\)+\(\dfrac{17}{-35}\)+\(\dfrac{-8}{13}\)

=(\(\dfrac{3}{17}\)+\(\dfrac{14}{17}\))+(\(\dfrac{-5}{13}\)+\(\dfrac{-8}{13}\))+(\(\dfrac{-18}{35}\)+\(\dfrac{17}{-35}\))

= 1+ (-1) + (-1) = -1

f. \(\dfrac{-3}{8}\).\(\dfrac{1}{6}\)+\(\dfrac{3}{-8}\).\(\dfrac{5}{6}\)+\(\dfrac{-10}{16}\)=\(\dfrac{-3}{8}\)(\(\dfrac{1}{6}\)+\(\dfrac{5}{6}\)) + \(\dfrac{-5}{8}\)

                                   =\(\dfrac{-3}{8}\)+\(\dfrac{-5}{8}\)= -1

g. \(\dfrac{-4}{11}\).\(\dfrac{5}{15}\).\(\dfrac{11}{-4}\)=\(\dfrac{5}{15}\)

h.\(\dfrac{7}{36}\)-\(\dfrac{8}{-9}\)+\(\dfrac{-2}{3}\)= \(\dfrac{7}{36}\)-\(\dfrac{-32}{36}\)+\(\dfrac{-24}{36}\)

                       =\(\dfrac{-49}{36}\)

d: \(\dfrac{5}{7}+\dfrac{9}{23}+\dfrac{-12}{7}+\dfrac{14}{23}=1-1=0\)

e: \(\dfrac{3}{17}+\dfrac{-5}{13}+\dfrac{-18}{35}+\dfrac{14}{17}+\dfrac{17}{-35}+\dfrac{-8}{13}=-1-1+1=-1\)

Vì số 18 chia hết cho 9 nên 3*91000 sẽ chia hết cho 9 hay : 3 + * + 9 + 1 + 0 + 0 + 0 chia hết cho 9

Suy ra : 3 + * + 9 + 1 + 0 + 0 + 0 = 18

             13 + *  = 18

                     * =  18 - 13 

                     * = 5

Nhớ cho mình nhé