Given the following E°_red

Cl₂(g) + 2 e⁻ → 2 Cl⁻ (aq)                                                  E°_red = 1.36 V

MnO₄⁻(aq) + 8 H⁺(aq) + 5 e⁻ → Mn²⁺(aq) + 4 H₂O(l)       E°_red = 1.51 V

What is the value of the equilibrium constant for the reaction at 298 K? 

10 Cl⁻ (aq) + 2 MnO₄⁻(aq) + 16 H⁺(aq) → 2 Mn²⁺(aq) + 8 H₂O(l) + 5 Cl₂(g)