a)\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{21}{39}+\frac{49}{21}.\frac{8}{15}\)

=\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{7}{13}+\frac{7}{13}.\frac{8}{15}\)

=\(\frac{7}{13}.\left(\frac{7}{15}-\frac{5}{12}-\frac{8}{15}\right)\)

=\(\frac{7}{13}.\frac{7}{12}\)

=\(\frac{49}{156}\)

b)\(\left(\frac{12}{199}+\frac{23}{200}-\frac{34}{201}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)

=\(a.\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)

=a . 0

=0

Bài 2

a)Có

\(3^{200}=3^{2.100}=\left(3^2\right)^{100}=9^{100}\)

\(2^{300}=2^{3.100}=\left(2^3\right)^{100}=8^{100}\)

Vì 8<9 =>\(8^{100}< 9^{100}\) =>\(3^{200}>2^{300}\)

câu c bạn so sành với phân số trung gian là 1

`a)25xx532xx4`

`=(25xx4)xx432`

`=432xx100=43200`

`b)456xx200-456xx100`

`=456xx(200-100)`

`=456xx100=45600`

\(a,25\times432\times4=25\times4\times432=100\times432=4320\\ b,456\times200-456\times100=456\times\left(200-100\right)=456\times100=45600\)

`25 xx 432 xx 4 = (25xx4 ) xx 432 = 100 xx 432 = 43200`

`456 xx200 - 456 xx 100 = 456 xx ( 200 - 100 ) = 456 xx 100 = 45600`

a) Đặt A = 1 + 4 + 7 + ..... + 100

Số số hạng của A là : 

           (100 - 1) : 3 + 1 = 34 

Tổng A có giá trị là  :

           (100 + 1) x 34 : 2 = 1717

Thay A vào đề bài ta có : x + 1717 = 1996

=> x = 1996 - 1717

=> x = 279

b) 786 + (x + 2 + 4 + ......... + 48 + 50) = 2007

Đặt B = 2 + 4 + ......... + 50

Số số hạng của B là : 

                (50 - 2) : 2 + 1 = 25 (số)

Tổng B có giá trị là : 

               (50 + 2) x 25 : 2 = 650 

Thay B vào đề bài ta có : 786 + x + 650 = 2007

=> x + 1436 = 2007

=> x = 571 

Vậy x = 571

1, Tính :

a, \(8.4^5-3.9.12+28\div4.2^0\)

\(=8192-27.12+7.1\)

\(=8192-324+7\)

\(=7868+7\)

\(=7875\)

b, \(210+86.2^3\div2-19.2^3\)

\(=210+86.8\div2-19.8\)

\(=210+688\div2-19.8\)

\(=210+344-152\)

\(=554-152=402\)

c, \(54.23+11^2-152\)

\(=54.23+121-152\)

\(=1242+121-152\)

\(=1363-152=1211\)

2, Tính giá trị của biểu thức :

a, \(311\div\left\{210+\left[53+\left(37-25\right).2^2\right]\right\}\)

\(=311\div\left\{210+\left[53+12.4\right]\right\}\)

\(=311\div\left\{210+\left[53+48\right]\right\}\)

\(=311\div\left\{210+101\right\}\)

\(=311\div311=1\)

Vậy giá trị biểu thức trên bằng 1

b, \(\left\{\left[200+\left(50-30\right)^2\right]-456\right\}\div12\)

\(=\left\{\left[200+20^2\right]-456\right\}\div12\)

\(=\left\{\left[200+400\right]-456\right\}\div12\)

\(=\left\{600-456\right\}\div12\)

\(=144\div12=12\)

Vậy giá trị biểu thức trên bằng 12

a) 8.4⁵-3.9.12+28:4.2⁰

=8.1024-3.9.12+28:4.1

=8192-27.12+7.1

=8192-324+7

=7868+7

=7875

123 - (67 - 5 ) = 61

(324 + 76 ) + 213 = 613

456 x (5 + 2 ) = 3192

61

613

3192

61

613

3192

\(37\times7+80\times3+34\times7\)

\(=7\times\left(37+34\right)+80\times3\)

\(=7\times71+240\)

\(=497+240\)

\(=737\)

a)

37 x 7 + 80 x 3 + 34 x 7

= 7 x (37 + 34) + 80 x 3

= 7 x 71 + 240

= 497+ 240 

= 737

b)

123 x 456 + 456 x 321 - 256 x 444

= 456 x (123 + 321) - 256 x 444

= 456 x 444 - 256 x 444

= 444 x (456 - 256)

= 444 x 200

= 88800

k mk nhé ^^

Bài 4:

\(\dfrac{3}{4}+y:\dfrac{2}{5}=\dfrac{37}{16}\)

\(\Rightarrow y:\dfrac{2}{5}=\dfrac{37}{16}-\dfrac{3}{4}\)

\(\Rightarrow y:\dfrac{2}{5}=\dfrac{25}{16}\)

\(\Rightarrow y=\dfrac{2}{5}\cdot\dfrac{25}{16}\)

\(\Rightarrow y=\dfrac{5}{8}\)

________________

\(456+y:87=23987\)

\(\Rightarrow y:87=23987-456\)

\(\Rightarrow y:87=23531\)

\(\Rightarrow y=23531\cdot87\)

\(\Rightarrow y=2047197\)

a)\(\dfrac{4}{5}\times\dfrac{5}{8}:\dfrac{4}{5}\)

\(=\left(\dfrac{4}{5}:\dfrac{4}{5}\right)\times\dfrac{5}{8}\)

\(=1\times\dfrac{5}{8}=\dfrac{5}{8}\)

b)\(\dfrac{5}{6}+\left(\dfrac{1}{2}:\dfrac{3}{2}+\dfrac{4}{5}\right)\)

\(=\dfrac{5}{6}+\left(\dfrac{1}{3}+\dfrac{4}{5}\right)\)

\(=\dfrac{5}{6}+\dfrac{17}{15}\)

\(=\dfrac{59}{30}\)

Bài 2:

a) \(\dfrac{3}{4}+y:\dfrac{2}{5}=\dfrac{37}{16}\)

\(y:\dfrac{2}{5}=\dfrac{37}{16}-\dfrac{3}{4}\)

\(y:\dfrac{2}{5}=\dfrac{25}{16}\)

\(y=\dfrac{25}{16}\times\dfrac{2}{5}\)

\(y=\dfrac{5}{8}\)

b)\(456+y:87=23987\)

\(y:87=23987-456\)

\(y:87=23531\)

\(y=23531\times87\)

\(y=2047197\)

a) 4/5 x 5/8 : 4/5

= 5/8

b) 5/6 + ( 1/2 : 3/2 + 4/5)

= 5/6 + (1/3 + 4/5)

= 5/6 + 17/15

= 59/30

B4:

3/4 + y : 2/5 = 37/16

y : 2/5 = 25/16

y = 5/8.

456 + y : 87 = 23987

y : 87 = 23531

y = 2047197.