When real problems are translated into mathematical language, many of them can be expressed as nonlinear equations. Then the study of these problems is reduced to the solution of equations or the study of their properties. Methods of Power geometry, which includes Newton polyhedra and power transformations, led to solve and resolve these nonlinear equations and their systems in the vicinity of a singular point. This article studies the construction of a unimodular matrix of Power transformation in three-dimensional space by methods of number theory