Consider the field extension `QQ(e^10)` of `QQ`, where e is the base of the natural logarithm. Which of the following statements is true?
A) The element `e^2` is in `QQ(e^10)`, and can be expressed as a rational function `f(e^10)"/"g(e^10)`, where f and g are polynomials with rational coefficients.
B) The element `e^2` is algebraic over `QQ(e^10)` of degree 5, but not an element in `QQ(e^10)` itself. ?