Simplify 2016 and 2015 factorial!

Algebra Level 1

201620162016!×2016!×2016!××2016!2016 times×2015!×2015!×2015!××2015!2016 times \dfrac{2016^{2016}}{\underbrace{2016!\times2016!\times2016!\times\cdots\times2016!}_{2016 \text{ times}}}\times\underbrace{2015!\times2015!\times2015!\times\cdots\times2015!}_{2016 \text{ times}}

Simplify the expression above.

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

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