  The symbol length of ${_pBr}(k(\!(\alpha_1)\!)\dots(\!(\alpha_n)\!))$ for an
algebraically closed field $k$ of $\operatorname{char}(k) \neq p$ is known to
be $\lfloor \frac{n}{2} \rfloor$. We prove that the symbol length for the case
of $\operatorname{char}(k) = p$ is rather $n-1$. We also show that pairs of
anisotropic quadratic or bilinear $n$-fold Pfister forms over this field need
not share an $(n-1)$-fold factor.
