Find the average value $\displaystyle {f}_{{\text{ave}}}$ of $\displaystyle {f{{\left({x}\right)}}}={x}^{{5}}$ between -1 and 1, then find a number $\displaystyle {c}$ in [-1,1] where $\displaystyle {f{{\left({c}\right)}}}={f}_{{\text{ave}}}$.

$\displaystyle {f}_{{\text{ave}}}=$

$\displaystyle {c}=$