The '120-V' is what we in the engineering profession call a "red herring". You don't need it to solve the problem. The answer would be the same if the blow drier were operating from a 440-V outlet, or any other kind (just as long as the blow drier is designed to operate on whatever voltage it was plugged into.)
Power = 750-W = 0.75 kW Time = 13 minutes = 13/60 of an hour Energy = (power) x (time) = (0.75 kW) x (13/60 of an hour) = 0.1625 kWh
Cost per unit of energy = $ 0.1 per kWh Total cost = (energy) x (cost per unit of energy)
Total cost = (0.1625 kWh) x ($ 0.1 per kWh) = $ 0.01625 = 1.625 cents ===============================
The other answer has his significant figures correct, but shows what happens when you don't carry your units all the way through.
