a ) Sắp sếp theo thứ tự tăng dần :

- 2015 ; - 53 ; - 25 ;  - 7 ; - 1 ; 0 ; 7 15 ; 53 

b ) Rút gọn phân số rồi so sáh 

\(\frac{3.4+3.7}{6.5+24}\) = \(\frac{1.1+1.7}{3.5+8}\)= \(\frac{7}{23}\)

\(\frac{23.5-23}{46+3.23}\) = \(\frac{1.5-1}{2+3.1}\) = \(\frac{4}{5}\)

\(\frac{7}{23}=\frac{7.5}{23.5}=\frac{35}{115}\)

\(\frac{4}{5}=\frac{4.23}{5.23}=\frac{92}{115}\)

Vì \(\frac{35}{115}< \frac{92}{115}\Rightarrow\frac{3.4+3.7}{6.5+24}< \frac{23.5-23}{46+3.23}\)

Tk mk nha 

a) $34-29+(-14)+129-(-114)$

$=34-29-14+129+114$

$=34+(129-29)+(114-14)$

$=34+100+100$

$=234$

b) $27\cdot(-35)+(-27)\cdot64-27$

$=(-27)\cdot35+(-27)\cdot64+(-27)\cdot1$

$=(-27)\cdot(35+64+1)$

$=(-27)\cdot(99+1)$

$=(-27)\cdot100$

$=-2700$

c) $160-(4\cdot5^2-3\cdot2^3)\cdot2-(-12)$

$=160-(4\cdot25-3\cdot8)\cdot2+12$

$=160-(100-24)\cdot2+12$

$=160-76\cdot2+12$

$=160-152+12$

$=160-(152-12)$

$=160-140$

$=20$

a, 34 - 29 + (-14) + 129 - (-114)

= 34 + (129 - 29) + (114  - 14)

= 34 + 100 + 100

= 234

b, 27.(-35) + (-27).64 - 27

= (-27).(35 + 64 + 1)

= - 27 . 100

= - 2700

c, 160 - (4.5² - 3.2³).2 - (-12)

= 160 - (4.25 - 3.8).2 + 12

=  160 - (100 - 24).2 + 12

=  160 - 76.2 + 12

= 160 - 152 + 12

= 8 + 12

= 20 

a, 34-29+(-14)+129-(-114)
= 34-29-14+129+114
= (34-14)+(-29+129)+114
= 20 + 100 + 114
= 234

a) 2x - 15= 5².3

2x - 15= 25.3

2x - 15 = 75

2x = 75 + 15

2x = 90

x = 90 : 2

x = 45

b) 3^x+1 - 12 = 3.23

3^x+1 - 12 = 69

3^x+1 = 69 + 12

3^x+1 = 81

=> 3^x+1 = 3⁴

=> x + 1 = 4

=> x = 4 - 1

=> x = 3

c) mk ko hiểu đề lắm =\

\(=80-100+24=4\)

=55

\(=80-4.25+3.8=4\)

a. Với x = 7

(23 + x) - (56 - x)

= (23 + 7) - (56 - 7)

= 30 – 49

= - (49 – 30) = - 19

b. Với x = 13, y = 11

25 - x - (29 + y - 8)

= 25 - 13 - (29 + 11 - 8)

= 25 – 13 – 29 – 11 + 8

= (25 + 8) – (29 + 11 + 13)

= 33 – (40 + 13)

= 33 – 53

= - (53 – 33)

= -20

a)x = 7, ta có:

(23 + x) - (56 - x)

= (23 + 7) - (56 - 7)

= 30 - 49 = -19

b)  x = 13, y = 11, ta có:

25 - x - (29 + y - 8)

= 25 - 13 - (29 + 11 - 8)

 = 12 - 32 = -20.

5x + 7 +5x - 1= 10x +6 

bằng 10x+6

5x+7+5x-1=(5x+5x)+(7-1)=10x+6

2:

a: =>2(x+1)=26

=>x+1=13

=>x=12

b: =>(6x)^3=125

=>6x=5

=>x=5/6(loại)

c: =>\(7\cdot3^x\cdot\dfrac{1}{3}+11\cdot3^x\cdot3=318\)

=>3^x=9

=>x=2

d: -2x+13 chia hết cho x+1

=>-2x-2+15 chia hết cho x+1

=>15 chia hết cho x+1

=>x+1 thuộc {1;3;5;15}

=>x thuộc {0;2;4;14}

e: 4x+11 chia hết cho 3x+2

=>12x+33 chia hết cho 3x+2

=>12x+8+25 chia hết cho 3x+2

=>25 chia hết cho 3x+2

=>3x+2 thuộc {1;-1;5;-5;25;-25}

mà x là số tự nhiên

nên x=1

1: 

a: Đặt A=2^2024-2^2023-...-2^2-2-1

Đặt B=2^2023+2^2022+...+2^2+2+1

=>2B=2^2024+2^2023+...+2^3+2^2+2

=>B=2^2024-1

=>A=2^2024-2^2024+1=1

c: \(=\dfrac{3^{12}\cdot2^{11}+2^{10}\cdot3^{12}\cdot5}{2^2\cdot3\cdot3^{11}\cdot2^{11}}=\dfrac{2^{10}\cdot3^{12}\left(2+5\right)}{2^{13}\cdot3^{12}}\)

\(=\dfrac{7}{2^3}=\dfrac{7}{8}\)