  In this paper we obtain a Feynman-Kac formula for the solution of a
fractional stochastic heat equation driven by fractional noise. One of the main
difficulties is to show the exponential integrability of some singular
nonlinear functionals of symmetric stable L\'evy motion. This difficulty will
be overcome by a technique developed in the framework of large deviation. This
Feynman-Kac formula is applied to obtain the H\"older continuity and moment
formula of the solution.
