ANSWER
[tex] - 3[/tex]
EXPLANATION
The given expression is
[tex] \frac{2}{3} \sqrt{81} - \sqrt[3]{ - 27} - \frac{4}{3} \sqrt[3]{729} [/tex]
We simplify the expressions under the radical sign to obtain:
[tex] \frac{2}{3} \sqrt{ {9}^{2} } - \sqrt[3]{ - {3}^{3} } - \frac{4}{3} \sqrt[3]{ {9}^{3} } [/tex]
We simplify to obtain;
[tex] \frac{2}{3} \times 9 - ( - 3) - \frac{4}{3} \times 9[/tex]
This will be equal to:
[tex]6 + 3- 12 = - 3[/tex]
The last option is correct.
