Language can really also get the way, because resistance and power or force are used in dealing with weight, as in "the less resistance (gravitational) the less power is required to lift", which is very intuitive knowledge.
In electrical terms, power (wattage) is current flow demand (amps) x differential energy provided (volts).
watts = amps x volts
Resistance is measured as ohms (not the same thing at all as weight).
With gravity, the less weight lifted, the less power required.
With electricity, the less resistance offered, the more amperage or less voltage required. With a constant voltage, the lower the resistance offered, the more power (watts) required. Why?
ohms = volts/amps
With a lower ohm speaker and the same voltage, we need more amps. Amps are provided by actual electrical particles moving through the resistor, which means the more there are, the hotter the resistor gets. We need a better build on the speaker spider. So with higher amps x volts we get higher watts. The output of the amplifier must therefore provide more watts.
If we lowered the voltage instead of increasing the amps, we'd get the ohm level desired but less wattage would be required, and we are after wattage for those hungry speakers. Just don't let friends near the volume control on an overpowered amplifier or they will fry your speakers in a split second.
Overdriving an underpowered amplifier will cause it to generate uneven electrical pulses that can damage speakers as well as the amp itself.