^This question is from destroyer right? They never mentioned why a branched alkane is more stable but I'd venture to guess that there are many stabilizing effects a branched alkane has that a straight-chain alkane has not. What some of the ppl are stating above (ie: intermolecular forces, lattice packing) has little to do with inherent stability of the molecule. These factors make a difference towards melting and boiling point, yes, but stability would be better defined as the tendency for a molecule to react. While you can make a case for electron donating ability, I'm sure bond connectivity and spatial arrangements of bonds play a role also, and perhaps even Newman projections. Whatever the answer may be, you don't need to know it because it's not something you learn at this level. Just remember that branched chain alkanes are less reactive (more stable) and you'll be good.