Power required is power load / efficiency. A 10 kW peak motor and a 5 kW peak motor, both under a 5 kW load with 94% efficiency will draw the same power from the batteries .. speaking generally, at least.
The Prius motor surely has different design parameters than a pure EV motor, but it's still pretty efficient for 90% of its operational range. Plus it's the first efficiency map I found with a quick google search : P