EXPONENTIAL, NATURAL LOGARITHM (_) ^y is equivalent to e^y, where e is Euler's number ^1 (approximately 2.71828). The natural logarithm (^.) is inverse to ^ (that is, y= ^. ^ y and y= ^ ^. y).
POWER, LOGARITHM (0 0) x^2 and x^3 and x^0.5 are the square, cube, and square root of x. The general definition of x^y is ^y*^. x, and applies for complex numbers as well as real. For a non-negative integer right argument it is equivalent to */y#x; in particular, */ on an empty list is 1, and x^0 is 1 for any x, including 0.
The base-x logarithm x^.y is the inverse of power in the sense that y=x ^. x ^ y and y=x ^ x ^. y.