Just a made-up example for help:

E.g. Suppose there's a circuit involving 2 resistors (2 and 6 ohms) in parallel, the battery supplies, let's say, 8 V. Current would be 1.5 A, the 2 ohm resistor would receive 3/4 of the total current, so 9/8 A. Whereas the 6 ohm resistor would get 1/4 of the total current, so 3/8 A.

P(2 ohm)= I^2 x R = (9/8)^2 x 2 = 2.53 W

P(6 ohm) = (3/8)^2 x 6 = 0.84 W

So it can be seen that the resistor with the lowest resistance, in a parallel circuit, would have the highest power output.

Hope this helps!