  Results on products of the distributions $x_{\pm}^{a}$ and $\de^{(p)}(x)$
with coinciding singularities are derived when the products are balanced so
that they exist in the distribution space. These results follow the idea of a
known result on distributional products published by Jan Mikusi\'nski in 1966.
They are obtained in Colombeau algebra $\EuScript{G}(\mathbb{R})$ of
generalized functions that contains the distribution space and the notion of
'association' in it allows obtaining results in terms of distributions.
