Raised to the Power of 27!

Algebra Level 5

If $\alpha,\beta,\gamma$ are the roots of the equation $x^{3} + 3x + 9=0$ , find the value of $\alpha^{27} +\beta^{27} +\gamma^{27}$ .

Note:

1.This is not an original problem.It is inspired by a question posted by Ayush Parasar.

2.You might want to use the calculator in the last step.