Abstract: This paper proves the existence of the distributions (X₊^r)₊^-8, (X₊^r)_-^-8, (X_-^r)₊^-8, (-X₊^r)_-^-8, (-X_-^r)_-^-8, (X₊^r)^-s,|X₊^r|^-s and sgn X·|X₊^r|^-s and shows their corresponding expressions by means of the changes of independent variable and the neutrix limits in distributions.