Fraction With Exponents!

Algebra Level 1

Let \(a=2014^{2014}\), \(b=2015^{2015}\),\(c=2016^{2016}\) . Find the value of \[ \frac{1}{2015^{a-a}+2015^{a-b}+2015^{a-c}} \\ +\frac{1}{2015^{b-a}+2015^{b-b}+2015^{b-c}} \\ +\frac{1}{2015^{c-a}+2015^{c-b}+2015^{c-c}} \]

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