# 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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