Answer:
Options (1), (2), (3) and (7)
Explanation:
Given expression is
.
Now we will solve this expression with the help of law of exponents.
![\frac{\sqrt[3]{8^{(1)/(3)}* 3} }{3*2^{(1)/(9)}}=\frac{\sqrt[3]{(2^3)^{(1)/(3)}* 3} }{3*2^{(1)/(9)}}](https://img.qammunity.org/2022/formulas/mathematics/college/zrubhfxal1f3c8dzu8bdfsfvopxem614n5.png)
![=\frac{\sqrt[3]{2* 3} }{3*2^{(1)/(9)}}](https://img.qammunity.org/2022/formulas/mathematics/college/wg5r6y7450if1ji51q1p47hm0beryc6ss5.png)




[Option 2]
[Option 1]
![2^{(2)/(9)}* 3^{-(2)/(3) }=(\sqrt[9]{2})^2* (\sqrt[3]{(1)/(3) } )^2](https://img.qammunity.org/2022/formulas/mathematics/college/ylv39pu4mu4w9btgpmye8371mv4v79wdm3.png)

[Option 3]

[Option 7]
Therefore, Options (1), (2), (3) and (7) are the correct options.