An algebra problem by John Rex Alegria

Algebra Level 2

\[\large \sqrt[5!]{\sqrt[3!]{x^{6!}}} = \left [ \dfrac{2x^x + \sqrt[x]{15x^2}}{198x} \right ] ^{2y} \]

If \(x> 0 \) and \(y = 0 \), find the value of \((x-1)^{x^2} \).

\[\] Notation: \(!\) denotes the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).

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