Beware of the ^-1 . It can cause a lot of confusion. For instance:
A) x^1 is 1/x
B) f^-1(x) is inverse of f(x)
The problem I thought I'd run into in the classroom, which has NOT occurred, is the confusion of sin^-1(x)---that is, arcsin(x)---with 1/sin(x)---that is, csc(x).