Datastream33 says you may have to delete the old apk's:
Ok, the micropatch is out!
@sfair74 you may need to delete the previously downloaded apks.
Open the Toolbox, click the Settings icon (top right in the main menu), click the About tab, then click the "Open Installation Directory" button. Then in File Explorer double-click the "bin" folder, then double-click the "Google Services" folder, and now in this folder, delete all APK files (except GAssist.apk if it exists). After deleting the APK files and uninstalling Play Services from your tablet you are all set to try installing Play Services again.
Best of luck, and please let us know how it goes!