Earthquake in my mind!

Algebra Level 4

\[\big(a^8 + b^8 + c^8 + d^8 + e^8\big)\big(a^{11} + b^{11} + c^{11} + d^{11} + e^{11}\big)\]

If \(a, b, c, d, e\) are the roots of \(x^5 + 7x - 1 = 0,\) then find the value of the expression above.

\[\] Inspiration.

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