For a single device,the power in both series and parallel is same.
But for a number of devices,the power delivered is different in series and parallel.
But the total power in series and parallel is same.
In series circuit,the formula for power is ,p=i²R.
Here power is directly proportional to R.
We took i here because current is constant in series.
In parallel circuit,the formula for power is,p=V²/R
Here power is inversely proportional to R.
We took V here because,voltage is constant in parallel circuit.