Powered subs are limited to, or by, the power generated by their own internal power amps. If you want more "kick", you need bigger subs.
Now, I'm not familiar with any JBL speakers with built in powered subwoofers. I HAVE heard of powered JBL speakers, though. I've also heard the term "subwoofer" bandied about incorrectly quite a bit recently when the proper term used should be simply "woofer".
What model numbers are these speakers of yours?