The power to square a word in conversation is a powerful tool to add to the ever expanding toolbox that is the english language.
1, When you have two consecutive, identical words it is often easier to square them. Sleeping Bag²
2, A similar effect to putting an x- before a word (such as x-treme or x-files), by putting a word to the power of 2 it adds that extra boon.
Both definitions are generally pronounced as 'squared', rather than the nerdier 'to the power of two'.
'My sleeping bag² just exploded'
'Woah, that was like mega-x-treme²'