ZS3 and ZS7 batteries

Have a ZS3 that I'm most pleased with. Considering a ZS7 for me and let my wife use the ZS3. I wander back roads and remote areas for photographing and the GPS in the ZS7 will make it unnecessary to tote my separate GPS and then later have to use the software to record site data. Since I already have a spare "genuine Panasonic" battery for the ZS3 I'm asking whether the ZS7 battery is the same. If so I won't have to buy another. TIA