\(\dfrac{37\cdot5^4}{25^2}=\dfrac{37\cdot5^4}{5^4}=37\\ \dfrac{2^4\cdot2^6\cdot3^8\cdot9^2}{4^4\cdot3^{11}}=\dfrac{2^{10}\cdot3^8\cdot3^4}{2^8\cdot3^{11}}=2^2\cdot3=12\\ \dfrac{3\cdot9^4\cdot9^3}{3^2\cdot9}=\dfrac{3\cdot3^8\cdot3^6}{3^2\cdot3^2}=3^{11}\\ \dfrac{125\cdot5\cdot64-25^3\cdot10\cdot4}{5^7\cdot8}=\dfrac{5^3\cdot5\cdot2^6-5^6\cdot2\cdot5\cdot2^2}{5^7\cdot2^3}=\dfrac{5^4\cdot2^3\left(2^3-5^3\right)}{5^7\cdot2^3}=\dfrac{8-125}{5^3}=\dfrac{-117}{125}\)

a) (125 -679 + 145 ) - ( 125 - 679 )=125 -679+145-125+679=145

b)(x - 29 ) - ( 17 - 38 ) = -9

<=> x-29 -17+38=-9

<=>x=-1

c)( x + 5 ) + ( x - 9 ) = x + 2

<=>x+5+x-9=x+2

<=>x+x-x=2+9-5

<=>x=6

d) ( 27 - x )+ ( 15 + x ) = x - 24 

<=> 27-x+15+x-x=-24

<=> -x=-66

<=>x=66

e) -359 + 181 + ( -123 ) + 350 + ( -172 ) =  (181 +350)-(359+172) -123  =531-531-123=-123

f) 13 - 12 + 11 + 10 - 9 + 8 - 7 -6 + 5 - 4 + 3 + 2 -1=( 13 - 12) +11 + (10 - 9)+(8-7)-6+(5-4)+3+(2-1)=1+11+1+1-6+1+3+1=13

a, (125 -679 + 145 ) - ( 125 - 679 )

= 125 - 679 + 145 - 125 + 679 

= ( 125 - 125 ) + ( -679 + 679 ) + 145

= 0 + 0 +145

= 145

b, (x - 29 ) - ( 17 - 38 ) = -9

x - 29 - 17 + 38        = -9

x - 29 - 17                = -9 - 38   

 x - 29 - 17               = -47

x - 29                       = -47 + 17

x - 29                       = -30

x                              = -30 + 29

x                              = -1

Vậy x = -1

c, ( x + 5 ) + ( x - 9 ) = x + 2

x + 5 + x - 9          = x + 2 

x - x + 14              = x + 2 

14                          =  x + 2

x                            = 14 - 2 

x                            = 12

Vậy x = 12

d, ( 27 - x )+ ( 15 + x ) = x - 24 

27 - x + 15 + x         = x - 24

42 + ( -x + x )           = x - 24

42                            = x - 24

x                              = 24 + 42

x                              = 66

Vậy x = 66

e, -359 + 181 + ( -123 ) + 350 + ( -172 ) 

= ( -359 + 350 ) + [ 181 + ( -172 ) ] + ( -123)

= (-9) + 9 + ( -123 )

= 0 + ( -123)

= (-123)

g , 13 - 12 + 11 + 10 - 9 + 8 - 7 -6 + 5 - 4 + 3 + 2 -1

= ( 13 - 12 ) + ( 10 - 9 ) + ( 8 - 7 ) + ( 5 - 4 ) + ( 2 - 1 ) + ( 11 - 6 + 3)

= 1 + 1 + 1 + 1 + 1 + 8

= 1. 5 + 8

= 5 + 8

= 13

  Bài 1:

2^\(x\) = 4

2\(^x\) = 2²

 \(x=2\)

Vậy \(x=2\)

Bài 2:

2\(^x\) = 8

2\(^x\) = 2³

\(x=3\)

Vậy \(x=3\)

Bài 3

2\(^x\) = 16

2\(^x\) = 2⁴

  \(x=4\)

Vậy \(x=4\)

a)\(29.\left(-13\right)-27.\left(-29\right)-14.\left(-29\right)\)

\(=13\left(-29\right)-27.\left(-29\right)-14.\left(-29\right)\)

\(=-29.\left(13-27-14\right)\)

\(=\left(-28\right).\left(-29\right)\)

\(=812\)

a) => y+42+2y= -12-14+2y

y+2y-2y = -12-14-42

y= -68

b) => 15+y-5-5y= -12-5y

y-5y+5y= -12-15+5

y = -22

c) => 2y+5-8y+21= -3-5y-2

2y-8y+5y= -3-2-5-21

-y= -31=>y=31

d)=> -13+3y+23= -120+y

3y-y= -120+13-23

2y= -130=>y= -65

e) => -21+32+5y= 16+4y

5y-4y= 16+21-32

y= 5

bài 1

a)y-(-42-2y) = (-12) - 14 +2y

y +42 + 2y = -12 -14 +2y

3y + 42 = -26 +2y

y = -68

b)15-(-y+5)-5y=-(12+5y+2)

15+y-5-5y=-12-5y-2

10-4y=-14-5y

-4y+5y=-14-10=-24

c)2y-(-5+8y-21)=-3-(5y+2)

2y+5-8y+21=-3y-5y-2

-6y+26=-8y-2

-6y+8y=-2-26

2y=-28

y=-28/2=-14

ai giải hộ mình mình k liền

1) \((x-1)^2-9=0\)

\(⇔(x-1)^2-3^2=0\)

\(⇔(x-4)(x+2)=0\)

\(⇔\left[\begin{array}{} x-4=0\\ x+2=0 \end{array}\right.⇔\left[\begin{array}{} x=4\\ x=-2 \end{array}\right.\)

2) \((x-10)^2-125=x(x-15)-5\)

\(⇔x^2-20x+100-125=x^2-15x-5\)

\(⇔x^2-x^2-20x+15x=-5-100+125\)

\(⇔-5x=20⇔x=-4\)

\(3) (x+4)^2-4x=(x-3)(x+3)-11\)

\(⇔x^2+8x+16-4x=x^2-9-11\)

\(⇔x^2-x^2+8x-4x=-9-11-16\)

\(⇔4x=-36⇔x=-9\)

\(4)(2x-3)^2+12x=(4x-3)(x-2)-5\)

\(⇔4x^2-12x+9+12x=4x^2-11x+6-5\)

\(⇔4x^2-4x^2-12x+12x+11x=6-5-9\)

\(⇔11x=-8 ⇔x=-\dfrac{8}{11}\)

Bài 2:

a: =6(15-5)=6*10=60

b: =9(-3+23)=9*20=180

c: =11(-10+210)=11*200=2200

d: =125*4+125*4=125*8=1000