An algebra problem by John Rex Alegria

Algebra Level 2

x6!3!5!=[2xx+15x2x198x]2y\large \sqrt[5!]{\sqrt[3!]{x^{6!}}} = \left [ \dfrac{2x^x + \sqrt[x]{15x^2}}{198x} \right ] ^{2y}

If x>0x> 0 and y=0y = 0 , find the value of (x1)x2(x-1)^{x^2} .

Notation: !! denotes the factorial notation. For example, 8!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .

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