# Axe and Why

Algebra Level 3

If $$xy=6$$ and $$x^2 y + y^2 x + x+ y=63$$. Let $$S$$ denote the sum of digits of the number $$(x^4+y^4)(x^3+y^3)(x^2+y^2)(x+y)$$.

Find the value of $$\sqrt[3]{\sqrt S + \frac S4 + \frac S3 }$$.

$$Note$$:You can use calculator at final calculation.

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