a)Vì có nhiều số 52 nên .52x(3+7)=52x10=520

b)Vì có nhiều số 23 nên.23x(2+6+2)=23x10=230

c)Vì  số 64 phép cuối ko có số nhân nên ta coi số đó là 1 nên. 64x7+64x2+64x1=64x(7+2+1)=64x10=640

d)Vì phép tính ở giữa có 2 số 48 cộng nên ta coi đó là 1 nên.48x(3+6+1)=48x10=480

nhé

a) 52 x 7 + 52 x 3 

= 52 x ( 7 + 3 ) 

= 52 x 10 

= 520

b) 23 x 2 + 6 x 23 + 23 x 2 

= 23 x ( 2 + 6 + 2 )

= 23 x 10

= 230

c) 64 x 7 + 64 x 2 + 64 

= 64 x 7 + 64 x 2 + 64 x 1 

= 64 x ( 7 + 2 + 1 ) 

= 64 x 10 

= 640

d) 48 x 3 + 48 + 48 x 6 

 = 48 x 3 + 48 x 1 + 48 x 6 

 = 48 x ( 3 + 1 + 6 )

= 48 x 10

= 480

A=\(2^2-9^3+4^{-2}.16-2.5^2\)
\(=4-729+1-50=-774\)
B=\(\left(2^3.2\right).\dfrac{1}{2}+3^{-2}.3^2-7.1+5\)
\(B=2^4.\dfrac{1}{2}+1-7+5=8+1-7+5=7\)
 

 C = 2^-3 + (5²)³.5^-3 + 4^-3.16 - 2.3² - 105.(\(\dfrac{24}{51}\))⁰

C =  \(\dfrac{1}{8}\) + 5⁶.5^-3 + 4^-3.4² - 2.9 - 105.1

C =  \(\dfrac{1}{8}\) + 5³ + \(\dfrac{1}{4}\) - 18 - 105

C =  (\(\dfrac{1}{8}\) + \(\dfrac{1}{4}\))  - (105 - 125 + 18)

C = \(\dfrac{3}{8}\) - (-20 + 18)

C = \(\dfrac{3}{8}\)  + 2

C = \(\dfrac{19}{8}\)

D = 2^-3 . \(\dfrac{1}{2^{-2}}\).\(\dfrac{2}{3}\) + 4^-2.8 - 7. (\(\dfrac{17}{23}\))⁰ + 19

D = 2^-1.\(\dfrac{2}{3}\) + \(\dfrac{1}{16}\).8 - 7.1 + 19

D = \(\dfrac{1}{3}\) + \(\dfrac{1}{2}\) - 7 + 19

D = \(\dfrac{5}{6}\)  + (19 - 7)

D = \(\dfrac{5}{6}\) + 12

D = \(\dfrac{77}{6}\)

a) Ta có: \(\dfrac{-3}{7}+\dfrac{15}{26}-\left(\dfrac{2}{13}-\dfrac{3}{7}\right)\)

\(=\dfrac{-3}{7}+\dfrac{15}{26}-\dfrac{2}{13}+\dfrac{3}{7}\)

\(=\dfrac{15}{26}-\dfrac{4}{26}\)

\(=\dfrac{11}{26}\)

b) Ta có: \(2\cdot\dfrac{3}{7}+\left(\dfrac{2}{9}-1\dfrac{3}{7}\right)-\dfrac{5}{3}:\dfrac{1}{9}\)

\(=\dfrac{6}{7}+\dfrac{2}{9}-\dfrac{10}{7}-\dfrac{5}{3}\cdot9\)

\(=\dfrac{-4}{7}+\dfrac{2}{9}-15\)

\(=\dfrac{-36}{63}+\dfrac{14}{63}-\dfrac{945}{63}\)

\(=\dfrac{-967}{63}\)

c) Ta có: \(\dfrac{-11}{23}\cdot\dfrac{6}{7}+\dfrac{8}{7}\cdot\dfrac{-11}{23}-\dfrac{1}{23}\)

\(=\dfrac{-11}{23}\cdot\left(\dfrac{6}{7}+\dfrac{8}{7}\right)-\dfrac{1}{23}\)

\(=\dfrac{-11}{23}\cdot2-\dfrac{1}{23}\)

\(=-1\)

d) Ta có: \(\left(\dfrac{377}{-231}-\dfrac{123}{89}+\dfrac{34}{791}\right)\cdot\left(\dfrac{1}{6}-\dfrac{1}{8}-\dfrac{1}{24}\right)\)

\(=\left(\dfrac{-377}{231}-\dfrac{123}{89}+\dfrac{34}{791}\right)\cdot\left(\dfrac{4}{24}-\dfrac{3}{24}-\dfrac{1}{24}\right)\)

\(=\left(\dfrac{-377}{231}-\dfrac{123}{89}+\dfrac{34}{791}\right)\cdot0\)

=0

1. a) 40

    b) 3

    c) 18

    d) 3

2. a) 291

    b) 37

    c) 61

    d) 284

Lời giải:

$5+\frac{4}{7}=\frac{5\times 7+4}{7}=\frac{39}{7}$

$1+\frac{6}{11}=\frac{11+6}{11}=\frac{17}{11}$

$\frac{7}{19}+3=\frac{7+19\times 3}{19}=\frac{64}{19}$

$\frac{4}{23}+2=\frac{4+23\times 2}{23}=\frac{50}{23}$

a) A = 3² . 1/243 . 81² . 1/3²

= 3² . 1/3⁵ . (3⁴)² . 1/3²

= 3² . 1/3⁷ . 3⁸

= 3¹⁰ . 1/3⁷

= 3³

= 27

b) B = (4.2⁵) : (2³ . 1/6)

= (4.32) : (8 . 1/6)

= 128 : 4/3

= 96

c)  C = (-1/3)³.(-1/3)².(-1/3)

= (-1/3)³⁺²⁺¹

= (-1/3)⁶

= 1/729

d) D = (-1/3)⁻¹ - (-6/7)⁰ + (1/2)² : 2

= -3 - 1 + 1/4 : 2

= -4 + 1/8

= -31/8

A. 64 : 16 = 4

B. 210 : 30 = 7

C. 504 : 56 = 9

D. 115 : 23 = 5

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A. 64 : 16 = 4

B. 210 : 30 = 7

C. 504 : 56 = 9

D. 115 : 23 = 5

a: \(=\dfrac{-3}{7}+\dfrac{15}{26}-\dfrac{2}{13}+\dfrac{3}{7}=\dfrac{15}{26}-\dfrac{4}{26}=\dfrac{11}{26}\)

b: \(=\dfrac{6}{7}+\dfrac{2}{9}-\dfrac{10}{7}-5=\dfrac{-4}{7}-5+\dfrac{2}{9}=-\dfrac{337}{63}\)

c: \(=-\dfrac{11}{23}\left(\dfrac{6}{7}+\dfrac{8}{7}\right)-\dfrac{1}{23}=\dfrac{-22}{23}-\dfrac{1}{23}=-1\)