infix operators, type 2: ^^

 ^^ :
    description:
        ket1 ^^ ket2
        raise the value of ket1 to the power of the value of ket2
        we do our best to preserve categories
        if one ket has a category, and the other doesn't then the result has that category
        if ket1 and ket2 have different categories then return the empty ket |>
        if ket1 and ket2 are 2D, then apply power component-wise

    examples:
        |5> ^^ |3>
            |125>

        |number: 5> ^^ |3>
            |number: 125>

        |number: 5> ^^ |page: 3>
            |>

        |3: 7> ^^ |2: 5>
            |9: 16807>

    see also:
        arithmetic, ++ , -- , ** , // , %%