a)  1376

b) 441

1)\(79-5\left(11-x\right)=34\)

\(\Rightarrow79-55+5x=34\)

\(\Rightarrow24+5x=34\)

\(\Rightarrow5x=-10\)

\(\Rightarrow x=-2\)

Vậy \(x=-2\)

2)\(32+2\left(7-x\right)=40\)

\(\Rightarrow32+14-2x=40\)

\(\Rightarrow46-2x=40\)

\(\Rightarrow2x=6\)

\(\Rightarrow x=3\)

Vậy \(x=3\)

3)\(\left(166-2x\right).8^9=2.8^{11}\)

\(\Rightarrow\left(83-x\right).2.8^9=2.8^{11}\)

\(\Rightarrow83-x=8^3\)

\(\Rightarrow83-x=512\)

\(\Rightarrow x=-429\)

Vậy \(x=-429\)

4)\(5^2.x-2^3.x=51\)

\(\Rightarrow x\left(5^2-2^3\right)=51\)

\(\Rightarrow x\left(25-8\right)=51\)

\(\Rightarrow17x=51\)

\(\Rightarrow x=3\)

Vậy \(x=3\)

5)\(3^x+4.3^x=5.3^7\)

\(\Rightarrow3^x\left(1+4\right)=5.3^7\)

\(\Rightarrow5.3^x=5.3^7\)

\(\Rightarrow3^x=3^7\)

\(\Rightarrow x=7\)

Vậy \(x=7\)

6)\(7.2^x-2^x=6.32\)

\(\Rightarrow2^x\left(7-1\right)=6.2^5\)

\(\Rightarrow6.2^x=6.2^5\)

\(\Rightarrow2^x=2^5\)

\(\Rightarrow x=5\)

Vậy \(x=5\)

7)\(15^{3-x}=225\)

\(\Rightarrow15^{3-x}=15^2\)

\(\Rightarrow3-x=2\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

8)\(4.5^x-3=97\)

\(\Rightarrow4.5^x=100\)

\(\Rightarrow5^x=25\)

\(\Rightarrow5^x=5^2\)

\(\Rightarrow x=2\)

Vậy \(x=2\)

9)\(171-3.2^x=123\)

\(\Rightarrow3.2^x=48\)

\(\Rightarrow2^x=16\)

\(\Rightarrow2^x=2^4\)

\(\Rightarrow x=4\)

Vậy \(x=4\)

10)\(180-4.x^5=32\)

\(\Rightarrow4.x^5=148\)

\(\Rightarrow x^5=37\)//Đề có lỗi không ???

Bài 1 câu a:

1/-8 + -5/8

= -1/8 - 5/8

= -6/8

= -3/4

Câu b:

-1/21 + -1/28

= -4/84 - 3/84

= - 7/854

Câu c:

-5/9 + 8/15 + -2/11 + 4/-9 + 7/15

= (8/15+ 7/15) - (5/9 + 4/9) - 2/11

= 1 - 1 - 2/11

= 0 - 2/11

= - 2/11

Câu d:

-25/-75 + 17/34 + 121/- 132

= 1/3 + 1/2 - 11/12

= 4/12 + 6/12 - 11/12

= 10/12 - 11/12

= - 1/12

Bài 2a:

51/23 = 5151/2323 = 515151/232323

\(\frac{5151}{2323}\) = \(\frac{5151:101}{2323:101}\) = \(\frac{51}{23}\) (1)

\(\frac{515151}{232323}\) = \(\frac{515151:10101}{232323:10101}\) = \(\frac{51}{23}\) (2)

Từ (1) và (2) ta có:

\(\frac{51}{23}=\frac{5151}{2323}=\frac{515151}{232323}\) (đpcm)

1/ 3(x - 2) = 9 => x - 2 = 3 => x = 5

2/ 3(x - 36) = 216 => x - 36 = 72 => x = 108

3/ (x - 3)³ = 3³ => x - 3 = 3 => x = 6

4/ 2^x = 32 => 2^x = 2⁵ => x = 5

5/ 3x - 16 = 2.7⁴ : 7³ = 14 => 3x = 30 => x = 10

6/ (6x - 39) : 3 = 201 => 6x - 39 = 603 => 6x = 642 => x = 107

7/ (3x - 15)² = 81 => (3x - 15)² = 9² => 3x - 15 = 9 => 3x = 24 => x = 8

8/ 3(x + 4) = 105 => x + 4 = 35 => x = 31

9/ 12x - 4³ = 4.8⁴ : 8³ = 32 => 12x = 32 : 64 => 12x = 1/2 => x = 1/24

10/ 41 - (2x - 5) = 680 => 2x - 5 = -639 => 2x = -634 => x = - 317