\(\left(\dfrac{4}{9}\right)^{x-1}=\left(\dfrac{8}{27}\right)^6\)

`<=>` \(\left[\left(\dfrac{2}{3}\right)^2\right]^{x+1}=\left[\left(\dfrac{2}{3}\right)^3\right]^6\)

`=>` \(\left(\dfrac{2}{3}\right)^{2x+2}=\left(\dfrac{2}{3}\right)^{18}\)

`=> 2x + 2 = 18`

`=> 2x = 18 - 2`

`=> 2x =16`

`=> x  =16 : 2`

`=> x =8`

Vậy `x=8`

giúp mình với =(((

\(2\dfrac{2}{3}-\dfrac{5}{12}-\left(1\dfrac{3}{4}-2\dfrac{1}{2}\right)-\left|1-1\dfrac{1}{6}\right|+\left|\dfrac{5}{3}\right|\)

\(=\dfrac{8}{3}-\dfrac{5}{12}-\left(\dfrac{7}{4}-\dfrac{5}{2}\right)-\left|1-\dfrac{7}{6}\right|+\dfrac{5}{3}\)

\(=\dfrac{8}{3}-\dfrac{5}{12}-\left(\dfrac{7}{4}-\dfrac{10}{4}\right)-\left|\dfrac{6}{6}-\dfrac{7}{6}\right|+\dfrac{5}{3}\)

\(=\dfrac{8}{3}-\dfrac{5}{12}-\left(\dfrac{7-10}{4}\right)-\left|\dfrac{6-7}{6}\right|+\dfrac{5}{3}\)

\(=\dfrac{8}{3}-\dfrac{5}{12}-\dfrac{-3}{4}-\dfrac{1}{6}+\dfrac{5}{3}\)

\(=\dfrac{8}{3}-\dfrac{5}{12}+\dfrac{3}{4}-\dfrac{1}{6}+\dfrac{5}{3}\)

`=32/12 - 5/12 + 9/12 - 2/12 + 20/12`

\(=\dfrac{32-5+9-2+20}{12}\)

`=54/12`

`=9/2`

những con trăn

Thể tích bể cá là :

`60^3 = 216000cm^3`

Lời giải:
Theo định lý về tổng 3 góc trong tam giác vuông: $A+B+C=180^0$

$6A=4B=3C$

$\Rightarrow \frac{6A}{12}=\frac{4B}{12}=\frac{3C}{12}$

hay $\frac{A}{2}=\frac{B}{3}=\frac{C}{4}$

Áp dụng TCDTSBN:

$\frac{A}{2}=\frac{B}{3}=\frac{C}{4}=\frac{A+B+C}{2+3+4}=\frac{180^0}{9}=20^0$

$\Rightarrow A=2.20^0=40^0; B=3.20^0=60^0; C=4.20^0=80^0$