No, the attenuation is exactly the same no matter the power and is analogous to the square of the distance. So a signal that has power X in a point 10 meters fr

No, the attenuation is exactly the same no matter the power and is analogous to the square of the distance. So a signal that has power X in a point 10 meters from the source it will have X/100 20 meters from the source. The analogy of the waves that another comment mentioned is a nice one (since we talk about EM waves). Another thing that may help you understand that more power means that the electrical charge to the protons/electrons in the air where the EM field is transmitted will also be more.