You wire the DC adaptor across the capacitors to charge them then reconnect the capacitors across the load (snow blower) to use the energy they have stored.
You should note that 9,400uF (the combined value of 2 x 4,700uF in parallel) will probably only power the blower motor for maybe 1/10th of a second! The values need to be VERY much higher to be of use and bear in mind that unlike a battery or adapter, their voltage starts to decay toward zero as soon as you draw current from them.
Brian.