As for property tax, it depends on what area you are in in Alaska. Each city and county will have different levels of property tax, just as it is different depending on county here in the Bay Area. Some of the areas in Alaska don't even have any property tax, but there are some cities that fall under taxable regions. You can find out what your particular area requires by contacting your local assessor's office. You can find the contact info at this link: http://www.commerce.state.ak.us/dca/osa/taxing.htm.
You can find more tax information, including other types of taxes in case you're interested:
http://www.tax.state.ak.us/abouttax/aktaxes_new.asp and http://www.bankrate.com/brm/itax/edit/state/profiles/state_t