Ta có: \(\left(3\dfrac{3}{4}+\dfrac{4}{7}\cdot\dfrac{7}{16}\right):\dfrac{1}{2}\)

\(=\left(\dfrac{15}{4}+\dfrac{1}{4}\right)\cdot2\)

\(=4\cdot2=8\)

Ta có:\(\left(3\dfrac{3}{4}+\dfrac{4}{7}.\dfrac{7}{16}\right):\dfrac{1}{2}\)

       \(=\left(\dfrac{15}{4}+\dfrac{1}{4}\right).2\)

       \(=\dfrac{16}{4}.2\)

       \(=8\)

= 4 : 1/2 = 4 nhân 2/1  = 8

đáp án = 8

= 4 : 1/2 = 4 nhân 2/1  = 8

đáp án = 8

10.213

11. 2 giờ 55 phút

12. 4 ngày 21 giờ

13.

a: 6,008

b: 4500

c: 5,628

d: 4,009

14.

a,8579 cm2

b,32,04 m2

c,187200m2

d,5,017 tấn

14:

a: \(85.79km^2=857900000000cm^2\)

b: \(32m^24dm^2=32.04m^2\)

c: \(1872dm^2=18.72m^2\)

d: 5 tấn 17kg=5,017 tấn

13:

a: \(6dm^38cm^3=6.008dm^3\)

b: \(4.5m^3=4500dm^3\)

c: \(5628dm^3=5.628m^3\)

d: \(4m^39dm^3=4.009m^3\)

12: =108h:3+80h

=36h+80h=116h

10:

3h18p+7h21p:3

=198p:441p:3

=198p+147p=345p

B

A

B

1) ta có \(\left(x+y\right)^2=x^2+2xy+y^2.\)

                                \(=\left(x^2+y^2\right)+2xy\)

                                \(=20+2.8\)(theo giả thiết x^2+y^2=20 , xy=8)

                                \(=36\)

Vậy với x^2+y^2=20, xy=8 thì (x+y)^2=36

2) \(M=\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

 \(\Rightarrow3M=3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

  \(\Leftrightarrow3M=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

 \(\Leftrightarrow3M=\left[\left(2^2\right)^2-1^2\right]\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

\(\Leftrightarrow3M=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

 \(\Leftrightarrow3M=\left[\left(2^4\right)^2-1^2\right]\left(2^8+1\right)\left(2^{16}+1\right)\)

\(\Leftrightarrow3M=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

\(\Leftrightarrow3M=\left[\left(2^8\right)^2-1^2\right]\left(2^{16}+1\right)\)

\(\Leftrightarrow3M=\left(2^{16}-1\right)\left(2^{16}+1\right)\)

\(\Leftrightarrow3M=\left(2^{16}\right)^2-1^2\)

\(\Leftrightarrow3M=2^{32}-1\)

\(\Rightarrow M=\frac{2^{32}-1}{3}\)

RÚT GỌN BIỂU THỨC N BẠN LÀM TƯƠNG TỰ NHA 

\(N=16\left(7^2+1\right)\left(7^4+1\right)\left(7^8+1\right)\left(7^{16}+1\right)\)

 \(\Rightarrow3N=48\left(7^2+1\right)\left(7^4+1\right)\left(7^8+1\right)\left(7^{16}+1\right)\)

\(\Leftrightarrow3N=\left(7^2-1\right)\left(7^2+1\right)\left(7^4+1\right)\left(7^8+1\right)\left(7^{16}+1\right)\)

\(...\)

\(...\)

Kết quả rút gọn \(N=\frac{7^{32}-1}{3}\)

a) $2^3\cdot3^2+7^{16}:7^{14}-2022^0$

$=8\cdot9+7^2-1$

$=72+49-1$

$=120$

b) $2x-9=3\cdot(-7)$

$\Rightarrow2x-9=-21$

$\Rightarrow2x=-21+9$

$\Rightarrow2x=-12$

$\Rightarrow x=-12:2=-6$

\(\dfrac{1}{2}\times\dfrac{1}{3}+\dfrac{3}{4}\)

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

\(=\dfrac{2}{12}+\dfrac{9}{12}\)

\(=\dfrac{11}{12}\)

____________________________

\(\dfrac{3}{7}-\dfrac{2}{7}:\dfrac{2}{3}\)

\(=\dfrac{3}{7}-\dfrac{2}{7}\times\dfrac{3}{2}\)

\(=\dfrac{3}{7}-\dfrac{3}{7}\)

\(=0\)

Chúc bạn học tốt

1/2 x 1/3 + 3/4 = 1/6 + 3/4 = 4/24 + 18/24 = 22/24 = 11/12
3/7 - 2/7 : 2/3 = 3/7 - 2/7 x 3/2 = 3/7 - 3/7 = 0

1​×31​+43​

=16+34=61​+43​

=212+912=122​+129​

=1112=1211​

____________________________

37−27:2373​−72​:32​

=37−27×32=73​−72​×23​

=37−37=73​−73​

$=0$

101/28

43/90

3/4:1/5-1/7

=15/4-1/7

=101/28

7/9-3/5.1/2

=7/9-3/10

=43/90

3/4 : 1/5 - 1/7

=> 3/4 x 5/1 - 1/7

=> 15/4 - 1/7

=> 105/28 - 4/28

=> 101/28

7/9 - 3/5 x 1/2

=> 7/9 - 3/10

=> 70/90 - 27/90

=> 43/90