Hi, just wondering are hair dying products aloud on planes?

Well, hello. Ok, right so im currently stationed in Brisbane. And I'm travelling down to Tasmania sometime later this year for a National Trampolining Competition. And i thought, how fun would it be if down there i put some colours of my club in my hair. So my club colours are dark green and dark blue (bleeh. :/ i know right). And i am going to go out of my way to purchase the bleach cause my hair is really dark. (don't worry, i know what i'm doing) And after bleaching it im gunna put the semi green hair dye in the Blonde/brassy parts. Let them do there thing and bravo, i will be the centre of team attention. BUT! the thing that stands in my way is the travel. Can i take the bleach and dying equipment down and which bag do i put it in. Carry on board or the one they take and store in the bottom of the plane. Also does anyone know if Price Attack stocks green semi hair dye?? And what is your estimated time to do this. So bleaching little parts of my fringe (im a guy) and then dying them. So i know what time to wake up on the day. :) Thanks a tonne!