`4^(x+2) .3^x = 16.12^5`

`4^(x+2) .3^x = 4^2 . (3.4)^5`

`4^(x+2) .3^x = 4^2 . 3^5. 4^5`

`4^(x+2) .3^x = 4^7 . 3^5`

`4^(x+2) .3^x = 4^(5+2) . 3^5`

`x=5`

Ta có:4^x+2.3^x=16.12⁵

     ⇔ 4^x+2.3^x=4¹⁷.3¹⁵

      ⇔ 4^x+2:4¹⁷.3^x:3¹⁵=1

     ⇔ 4^x-15.3^x-15=1

     ⇔ 12^x-15=12⁰

     ⇔ x-15=0

     ⇔ x=15

Ta có: \(4^{x+2}\cdot3^x=16\cdot12^5\)

\(\Leftrightarrow4^x\cdot16\cdot3^x=16\cdot12^5\)

\(\Leftrightarrow12^x=12^5\)

hay x=5

Vừa ăn bánh sinh nhật lừa làm bài nên hơi lâu ==*

16 . 125 = 2 . 2³ . 5³ . = 2 . 10³ = 2 . 1000 = 2000

9 . 24 . 25 = 9 . 6 . 4 . 25 = 54 . 100 = 5400

12 . 125 . 54 = 3 . 3³ . 2³ . 5³ . 5 = 15 . 3000 = 45000

lấy máy tính cho nhanh

a) \(14.50=7.2.50=7.100=700\)

b) \(16.125=2.8.125=2.1000=2000\)

c) \(9.4.25\)

\(=9.6.4.25\)

\(=54.1000\)

\(=5400\)

d) \(12.125.54=3.4.125.2.27=3.27.4.2.125\)

\(=81.8.125\)

\(=81.1000\)

\(=81000\)

\(a,14.50=14.100:2=1400:2=700\\ b,16.125=\left(16:8\right).\left(125.8\right)=2.1000=2000\\ c,9.24.25=9.6.4.25=54.100=5400\\ d,12.125.54=\left(3.4\right).125.\left(27.2\right)=\left(3.27\right).\left(4.2.125\right)=81.1000=81000\)

17262 - 9998

= 17262 - 10 000 + 2 

= 7262 + 2

= 7264 

876 - 197 

=876 - 200 + 3

= 676 + 3

= 679

16.125 

= 2. 8. 125

= 2. (8.125)

= 2. 1000

= 2000

700 : 25

= 7 x 100 : 25

= 7 x ( 100 : 25)

= 7 x 4

= 28

( 260 - 13) : 13

= 260 : 13 - 13 : 13

= 20 - 1

= 19

em cảm ơn cô a

a) 

26.50 = 13. 2. 50 = 13 . 100 = 1300

36.25 = 9. 4 . 25 = 9. 100 = 900

16 . 125 = 2. 8. 125 = 2.1000 = 2000

b)  1200 : 25 = ( 1200. 4 ) : ( 25. 4 ) = 4800 : 100 = 48

2350 : 50 = ( 2350. 2 ) : ( 50 . 2 ) = 4700 : 100 = 47

8750 : 125 = ( 8750 . 8 ) : ( 125. 8 ) = 70 000 : 1000 = 70 

cảm ơn bn nhiều.Kết bn với mk nha

90 bạn nhé!

Bạn cho mình cách làm lun dc ko?

  Được thôi.

2016:63+2016:32-5²⁰¹⁷:5²⁰¹⁶

=    32    +    63    -      5

=           95   -   5

=               90

\(P=\dfrac{3^{2016}-6^{2016}+9^{2016}-12^{2016}+15^{2016}-18^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)

\(=\dfrac{\left(3^{2016}-6^{2016}\right)+\left(9^{2016}-12^{2016}\right)+\left(15^{2016}-18^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)

\(=\dfrac{3^{2016}\left(1-2^{2016}\right)+3^{2016}\left(3^{2016}-4^{2016}\right)+3^{2016}\left(5^{2016}-6^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)

\(=\dfrac{3^{2016}\left(1-2^{2016}+3^{2016}-4^{2016}+5^{2016}-6^{2016}\right)}{-\left(1^{2016}-2^{2016}+3^{2016}-4^{2016}+5^{2016}-6^{2016}\right)}\)

\(=-3^{2016}\).

Vậy \(P=-3^{2016}\)

\(P=\frac{3^{2016}-6^{2016}+9^{2016}-12^{2016}+15^{2016}-18^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)

\(=\frac{\left(1.3\right)^{2016}-\left(2.3\right)^{2016}+\left(3.3\right)^{2016}-\left(4.3\right)^{2016}+\left(5.3\right)^{2016}-\left(6.3\right)^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)

\(=\frac{1^{2016}.3^{2016}-2^{2016}.3^{2016}+3^{2016}.3^{2016}-4^{2016}.3^{2016}+5^{2016}.3^{2016}-6^{2016}.3^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)

\(=\frac{-3^{2016}\left(-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)

\(=-3^{2016}\)