Final answer:
The reaction is exothermic because it releases 1300 kJ of energy.
Step-by-step explanation:
The reaction in question, 2C2H6 + 7O2 → 4CO2 + 6H2O +1300 kJ, is exothermic. This can be determined because the reaction releases energy in the form of heat, indicated by the '+1300 kJ' on the product side of the equation. When a reaction releases energy, it is classified as exothermic.