2^1, 2^3, 2^4 ,3^3, 3^4, 3^1

\(2A=2+\dfrac{1}{2}.6+\dfrac{1}{3}.12+\dfrac{1}{4}.20+...+\dfrac{1}{200}.40200=\)

\(=2+\dfrac{1}{2}.2.3+\dfrac{1}{3}.3.4+\dfrac{1}{4}.4.5+...+\dfrac{1}{200}.200.201=\)

\(=2+3+4+5+...+201=\dfrac{200\left(2+201\right)}{2}\)

\(=20300\Rightarrow A=\dfrac{20300}{2}=10150\)

\(=2023-1^{2020}+1=2023\)

\(=\dfrac{2^7\left(3+2^3\right)}{13.2^7-7.2^7}=\dfrac{2^7\left(3+8\right)}{2^7\left(13-7\right)}=\dfrac{11}{6}\)

Ta có số số hạng của dãy:                        (2018-1) :1+1=2018                                Tổng gtri biểu thức:                                 =(1+2018).2018:2=2019.2018:2=2037171

\(72.125.3\)

\(=9.8.125.3\)

\(=\left(8.125\right).\left(9.3\right)\)

\(=1000.27\)

\(=27000\)

27000

\(a,\left(x-36\right):\left(2\cdot3^2\right)=2^3\cdot3\\ \Leftrightarrow x-36=432\\ x=468\\ b,2^x=32\\ \Leftrightarrow x=5\\ \Leftrightarrow x^3=27\\ \Leftrightarrow x^3=3^3\\ \Leftrightarrow x=3\\ d,1579+\left(625-x\right)=2023\\ \Leftrightarrow x=1579+625-2023\\ \Leftrightarrow x=181\)

A. \(\left(x-36\right):\left(2.3^2\right)=2^3.3\)

\(\left(x-36\right):\left(2.9\right)=8.3\)

\(\left(x-36\right):18=24\)

\(x-36=24.18\)

\(x-36=432\)

\(x=432+36\)

\(x=468\)

B. \(2^x=32\)

\(2^x=2^5\)

\(x=5\)

C. \(x^3=27\)

\(x^3=3^3\)

\(x=3\)

D. \(1579+\left(625-x\right)=2023\)

\(625-x=2023-1579\)

\(625-x=444\)

\(x=625-444\)

\(x=181\)

Tích của số chia và thương là: 111

Số chia là: 37

Thương là: 3

Do \(\left(10a+b\right)⋮13\Rightarrow10a+b=13k\left(k\in N\right)\)

\(\Rightarrow b=13k-10a\)

\(\Rightarrow a+4b=a+4.\left(13k-10a\right)\)

\(=a+52k-40a\)

\(=52k-39a\)

\(=13\left(4k-3a\right)⋮13\)

Vậy \(\left(10a+b\right)⋮13\Rightarrow\left(a+4b\right)⋮13\)

Do $\left(10a+b\right)⋮13\Rightarrow 10a+b=13k\left(k\in N\right)$

$\Rightarrow b=13k-10a$

$\Rightarrow a+4b=a+4.\left(13k-10a\right)$

$=a+52k-40a$

$=52k-39a$

$=13\left(4k-3a\right)⋮13$

Vậy $\left(10a+b\right)⋮13\Rightarrow \left(a+4b\right)⋮13$

A.35 x 34 + 35 x 38 + 65 x 75 + 65 x 45

Câu này không tính hợp lí được

B. 12x 53 + 53 x 172 - 53 x 84

= 53 x (12 + 172 - 84)

= 53 x 100

= 5300

C. 36 x 28 + 36 x 82 + 64 x 69 + 64 x 41

= 36 x (28+82) + 64 x (69+41)

= 36 x 110 + 64 x 110

= (36+64) x 110

= 100 x 110

= 11 000

D. A = 1+2+3+...+100

= (1+ 100) x 50

= 101 x 50

= 5050

E. B =17+19+...+101+103

= (103 +17) x [(103 - 17):2 + 1]

= 120 x 44

=5280

G. D= 3x (12+13+14+15) + 3x(8+7+6+5)

= 3 x (5+6+7+8+12+13+14+15)

= 3 x (20 x 4)

= 3 x 80

=240