a)  \(2^6.3^3.12^2=2^{2.3}.3^3.12^2=4^3.3^3.12^2=12^3.12^2=12^5\)

b)  \(20^4:2^6=\left(2^2.5\right)^4:2^6=2^8.5^4:2^6=2^2.5^4=2^2.25^2=50^2\)

c) \(100^3:2^5=\left(25.2^2\right)^3:2^5=25^3.2^6:2^5=25^3.2\)

d) \(125^2.9^3.2^6=\left(5^3\right)^2.\left(3^2\right)^3.2^6=5^6.3^6.2^6=30^6\)

e) \(81^4.9^2.3^7= \left(3^4\right)^4.\left(3^2\right)^2.3^7=3^{16}.3^4.3^7=3^{27}\)

g) \(250^6:5^5=\left(2.5^3\right)^6:5^5=2^6.5^{18}:5^6=2^6.5^{12}=50^6\)

1,2⁶.3³.2⁴.3²=2¹⁰.3⁵

2,2⁸.5⁴:2⁶=2².5⁴

3,2².5²:2⁵=\(\frac{1}{2^3}.5^2\)

4,5⁶.9².2⁶=10⁶.9²

5,3¹⁶.3⁴.3⁷=3²⁷

6,5¹⁸.2:5⁵=5¹³.2

a: \(3636:\left(12\cdot x-91\right)=36\)

=>\(12x-91=\frac{3636}{36}=101\)

=>12x=91+101=192

=>\(x=\frac{192}{12}=16\)

b: \(446+2\cdot\left(125-x\right)=546\)

=>\(2\left(125-x\right)=546-446=100\)

=>125-x=50

=>x=125-50=75

c: \(\left(x-36\right):18=10+2\)

=>\(\left(x-36\right):18=12\)

=>\(x-36=18\cdot12=216\)

=>x=216+36=252

Ta có: 3636:(12x−91)=36

12x–91=3636:36

12x–91=101

12x=101+91

12x=192

x=192:12

x=16

Vậy x=16

440 + 2. (125 – x) = 546

2. (125 - x)=546 - 440

2. (125 - x)=106

125 - x=106 : 2

125 - x=53

x=125-53

x=72

trong tích trên có 1 thừa số như thế này:

\(\left(\frac{1}{125}-\frac{1}{5^3}\right)\)

\(=\left(\frac{1}{125}-\frac{1}{125}\right)\)

=0

=> tích trên bằng 0

5.[225 - (x - 10)] - 125 = 0

5.[225 - (x - 10)] = 0 + 125

5.[225 - (x - 10)] = 125

225 - (x - 10) = 125 : 5

225 - (x - 10) = 25

x - 10 = 225 - 25

x - 10 = 200

x = 200 + 10

x = 210

4.5^x = 100

5^x = 100:4

5^x = 25

5^x = 5²

=> x = 2

bạn ấn vào đúng 0 sẽ ra kết quả, mình làm bài này rồi dễ lắm

5x + 3x + 6x = 280

14x = 280 

x = 280 : 14 

x = 20

Vậy x = 20 

( 2x - 18 ) - 125 = 325 

( 2x - 18 ) = 325 + 125 

2x - 18 = 450

2x = 450 + 18 

2x = 468

x = 234

Vậy x = 234 

\(5x+3x+6x=280\)

\(\Rightarrow x\left(5+3+6\right)=280\)

\(\Rightarrow x.14=280\)

\(\Rightarrow x=20\)

b, \(\left(2x-18\right)-125=325\)

\(\Rightarrow2x-18=450\)

\(\Rightarrow2x=468\)

\(\Rightarrow x=234\)