In this case, the resistances 4 ohms and 6 ohms are connected in parallel.
The total resistance is 14+16=10.416=2.4ohms. The voltage is given as 6 V.
The power is calculated as follows.
P=VI=V2R(asI=VR).
Therefore, P=622.4=15W.
Hence, the power supplied by the battery is 15 W.