  Let $F$ be a field of characteristic $2$, $\pi$ be an $n$-fold bilinear
Pfister form over $F$ and $\varphi$ an arbitrary quadratic form over $F$. In
this note, we investigate Witt index, defect, total isotropy index and higher
isotropy indices of $\varphi$ and $\pi\otimes\varphi$ and prove relations among
the indices of these two forms over certain field extensions.
