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Power up or power down does not change your Hive tokens. Both are copied over to the new chain.

So if let’s say on Friday 10am eastern I have 5 days left until my next power down, I would immediately have 5 days left until my next HP power down?

Yes and in that case the power down will happen on both chains. Your SP will power down on the Steem chain and produce STEEM, and your HP will power down on the Hive chain and produce HIVE.

After the fork, anything you do on either chain will be completely independent of the other chain.

Haha, thanks Smooth: let me complete my 1800 Steem powerdown then. I was afraid i wont get some airdrop.

This is good to know.... thanks