First I will start with an opposing opinion... then I will tear down the arguments limb from limb:
http://www.youtube.com/watch?v=54e5Bz7m3do
Lets address the large number of presumptions and assumptions....
He said in the video, "its all based on Carbon-14" -- oh nice! so then we know that you are wrong if we can disprove this and also the sources that helped substantiate the original claim... check it out! There is a lot of information out there.
Alrighty... lets get started you big pile of doubters!!
Here is a quick and easy to understand video of the issues with Carbon Dating:
http://www.youtube.com/watch?v=3rlRLrGQo7s
Here are some articles that easily reveals the flaws in the logic of Carbon Dating:
http://www.answersingenesis.org/articles/am/v5/n4/carbon-dating
http://www.answersingenesis.org/articles/nab/does-c14-disprove-the-bible
If you like/prefer quick little videos, these two will be helpful:
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Ken Ham--
http://www.answersingenesis.org/media/audio/answers-daily/volume-096/carbon-dating-what-dates-found
Dr. Andrew Snelling--
http://www.answersingenesis.org/media/video/ondemand/new-answers-dvds/carbon-14-disprove-bible
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8 min.video with evidence from Zircon rocks:
http://www.youtube.com/watch?v=uyLxhvbzg-M
14 min. video with some helpful history:
http://www.youtube.com/watch?v=tQR-ELVKVqk
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Ken Ham in the debate with Bill Nye---on the subject of radioactive decay
http://www.tubechop.com/watch/2068959
Billy Nye after this contends that the wood example was speaking of plates layering each other; Ham then explains that it was contained inside the basalt!
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Ice Layers
Here is Ken Ham responding to the claim about Ice Layers:
http://www.tubechop.com/watch/2069065
Ignorant or Lying----- Ice layers?
http://www.youtube.com/watch?v=2OFsKQL0vBM
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Tree Rings and Dendrochronology
Tree Rings dating (it helps prove creationist dating):
http://www.youtube.com/watch?v=7HBQPLPbUkc
Myths about age dating through Carbon Dating and tree rings:
http://www.icr.org/article/myths-regarding-radiocarbon-dating/
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Coral Reefs, Distant stars, Continental Drift and many other dating arguments
This article here addresses many more issues:
http://www.answersingenesis.org/get-answers/features/billions-of-years