a: =25(15+45*3)

=25*150

=3750

b: \(=-10\left(25+75-50\right)=-10\cdot50=-500\)

c: =>3^x-2=27

=>x-2=3

=>x=5

d: =>2x-5=-4

=>2x=1

=>x=1/2

e: =>2(x-1)^2=32

=>(x-1)^2=16

=>x-1=4 hoặc x-1=-4

=>x=-3 hoặc x=5

f:  =>25(x+3)=75

=>x+3=3

=>x=0

1. A

2. B

3. A

4. B

1.    444 x 5 = 222 x 2 x 5 = 222 x 10 = 2220
2.    282 x 5 = 280 + 2 x 5 = 280 x 10 = 2800
3.    4 x 8 x 7 x 25 = (8 x 7) x (25 x4) = 56 x 100 = 5600
4.    25 x 8 x 9 = (25 x 4) x (4 x 9) = 100 x 36 = 3600
a.Đúng         b.Sai

1. sai

2. Sai

3. đúng

4.sai

a, 35 ⋮ (x+3) => (x+3) ∈ Ư(35) = {1;5;7;35} => x ∈ {2;4;32}

b, (x+7) ⋮ 25 và x < 100

Vì (x+7) ⋮ 25 => x+7 ∈ B(25) = {0;25;50;75;...}

Mà x < 100 => x+7 ∈ {0;25;50;75}

=> x ∈ {18;43;68}

c, (x+13) ⋮ (x+1)

Ta có: x+13 = x+1+12

Vì (x+1) ⋮ (x+1) nên để (x+13) ⋮ (x+1) thì 12 ⋮ (x+1)

=> (x+1) ∈ Ư(12) = {1;2;3;4;6;12} => x ∈ {0;1;2;3;5;11}

d, 91 ⋮ x; 26 ⋮ x và 10 < x < 30

Vì 91 ⋮ x; 26 ⋮ x => x ∈ ƯC(26;91)

Ta có: 26 = 2.13; 91 = 7.13

=> ƯCLN(26;91) = 13

=> x ∈ Ư(13) = {1;13}

Mà 10 < x < 30 => x = 13

e, (x+2) ⋮ 10, (x+2) ⋮ 15, (x+2) ⋮ 25 và x < 200

Vì (x+2) ⋮ 10, (x+2) ⋮ 15, (x+2) ⋮ 25 nên (x+2) ∈ BC(10;15;25)

Ta có: 10 = 2.5; 15 = 3.5; 20 =  2 2 . 5

=> BCNN(10;15;20) =  2 2 . 3 . 5 = 60

=> (x+2) ∈ B(60) = {0;60;120;180;...}

Mà x < 200 => x ∈ {58;118;178}

`2 1/2 xx 7/5 + (-9/10) xx 2/3`

`= 5/2 xx 7/10 + (-9/10) xx 2/3`

`= 35/20 + (-18/30)`

`= 7/4 + (-3/5)`

`= 23/20`

__

`x + 45% =2 1/2 - 5/3`

`=> x+ 45/100 = 5/2 - 5/3`

`=>x+ 9/20= 15/6-10/6`

`=> x+9/20 = 5/6`

`=>x= 5/6 - 9/20`

`=>x=23/60`

__

`80% +x=-5/2 +3/4`

`=> 80/100 + x= -10/4 +3/4`

`=> 4/5 + x= -7/4`

`=>x= -7/4-4/5`

`=>x=-51/20`

__

`4/25 -x=-5/2 +(-3/10)`

`=> 4/25 -x= -25/10 +(-3/10)`

`=> 4/25 -x= -28/10`

`=>x= 4/25 -(14/5)`

`=>x= 4/25 + 14/5`

`=>x=74/25`

\(x+\dfrac{1}{2}x-25\%x=10\\ \Leftrightarrow x+\dfrac{1}{2}x-\dfrac{1}{4}x=10\\ \Leftrightarrow\dfrac{5}{4}x=10\\ \Leftrightarrow x=8\)

=>5/4x=10

=>x=8

\(x\left(x-2\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)

a, 4¹⁰. 2³⁰=2²⁰.2³⁰=2⁵⁰

b,9²⁵.27⁴.81³= 3⁵⁰.3¹².3¹²=3⁷⁴

Tương tự các câu khác....

a, 4¹⁰.2³⁰ = (2²)¹⁰.2³⁰ = 2²⁰.2³⁰ = 2⁵⁰
b, 9²⁵.27⁴.81³ = (3²)²⁵.(3³)⁴.(3⁴)³ = 3⁵⁰.3¹².3¹² = 3⁷⁴
c, 25⁵⁰.125⁵ = (5²)⁵⁰.(5³)⁵ = 5¹⁰⁰.5¹⁵ = 5¹¹⁵
d, 64³.4⁸.16⁴ = (2⁶)³.(2²)⁸.(2⁴)⁴ = 2¹⁸.2¹⁶.2¹⁶ = 2⁵⁰
e, 3⁸ : 3⁶ = 3²
2¹⁰ : 8³ = 2¹⁰ : (2³)³ = 2¹⁰ : 2⁹ = 2
12⁷ : 6⁷ = (12 : 6)⁷ = 2⁷
@Dương Tuyết Mai

4 x 2 x 25 x 10 x 50 x 10 x 100

= ( 4 x 25 ) x ( 2 x 50 ) x 10 x 10 x 100

= 100 x 100 x 10 x 10 x 100

= 100 x 100 x 100 x 100

= 100000000 

4x2x25x10x50x10x100 = (4x25)x(50x2)x(10x10x100)

                                  = 100x100x10000 

                                  = 100000000

4 x 2 x 25 x 10 x 50 x 10 x 100

= ( 4 x 25 ) x ( 2 x 50 ) x ( 10 x 10 x 100 )

= ( 4 x 25 ) x ( 2 x 50 ) x ( 100 x 100 )

= 100 x 100 x 100 x 100

= 100000000