# Raised to 5and 9

Algebra Level 5

If $$r_{1}$$,$$r_{2}$$,$$r_{3}$$,$$r_{4}$$,$$r_{5}$$ are the complex roots of the equation $$x^{5}-3x^{4}-1=0$$ . Find the value of

$\large \frac{1}{r_{1}^{9}}+\frac{1}{r_{2}^{9}}+\frac{1}{r_{3}^{9}}+\frac{1}{r_{4}^{9}}+\frac{1}{r_{5}^{9}}$

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