TR-MO-R1 2008 Problem 7

$a = \sqrt[3]{9} - \sqrt[3]{3} + 1$ olduğuna göre, $\left(\dfrac{4-a}{a}\right)^6$ ifadesinin değeri aşağıdakilerden hangisidir?

a) 3 b) 6 c) 8 d) 9 e) 12

Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 3. Quoted with source.

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