How can energy escape a black hole?

Hi Naked Scientists]

I have listened to pretty much all your podcasts, and have built up a lot of dumb questions, and knowing the only dumb question is the one not asked, I have loaded up. (I apologize if any of these have been covered, or if I should have figured them out.)

I saw a TV show on the Universe and it showed energy being ejected from a black hole; something that light itself can't escape from. How can this happen, and if it does, should the energy have had to go into the black hole in the first place, and if it did, should it have looked to us outsiders as if it took infinite time to go into the black hole, so how could there be enough time to see it come out?

Great show, I wouldn't change a thing (except for having really naked scientists).

Regards,
Dave