I am trying to make a function in javascript, that will hide / show particular div in my registration form, depending on the state of my checkbox (checked or not). Here is
You are correct in using display: none; to hide your DIV initially.
As for your checkbox, try removing the spaces between getELementById and ('powermail_field...
Also you need to change:
} else {elem.display:none;}
to:
} else {elem.display = 'none';}