I think you're confusing power with work. Work is the amount of energy converted, for example resistance creates heat from pressure or voltage. This is a quantity of heat. Power is the speed at which this heat is created, or how fast.
For example, walking a mile burns 350 calories, but it takes 30 minutes. Sprinting a mile also burns 350 calories, but only takes 5 minutes. Sprinting requires 6 times more power, even though the same amount of work has been done. So, power consists of two things heat created or energy spent, and time.
Resistance of an object is neither energy spent or a period of time. So in and of itself, resistance has no relationship with work or with time interval. None of these units are compatible by themselves. It's like comparing the compressive strength of steel with the boiling point of water. They measure two completely different things. In and of themselves they have no relationship. However, you add a conditional component that both can share, and the comparative changes for each can can create a connection. For instance, add a variable component in the mix, like adding an electrical current to both the boiling water and the steel, then measuring the steel strength and the boiling point to see if that changes either one or both of their measurements. Now you have a comparison you can make, not to one another directly, but to how they both react to this new component.
Let's say, adding an electrical current to the water lowers its boiling point, and adding the same electrical current, lowers the strength of the steel. You can say in regards to the electrical current, that both the boiling point of water, and the strength of the steel are directly proportional because they both go down. Now, this is not real but it shows you how the relationship between two units of measurement can change.
Same is true for resistance of a medium and the rate of heat created by it. Resistance is a static measurement based on the characteristics of a material component. Power is a dynamic measurement based on the conditions or multiple components, (amount of electrical current per second) amps, and (differential charge of the conductor) voltage.
Hope that this is a better conceptualization than just bouncing formulas around.