  In this paper properties of the quantum supermatrices in the quantum
supergroup $GL_{p,q}(1|1)$ are discussed. It is shown that any element of
$GL_{p,q}(1|1)$ can be expressed as the exponential of a matrix of
non-commuting elements, like the group $GL_q(1|1)$. An explicit construction of
this exponential representation is presented.
