Abstract: Using super-symmetric quantum mechanics arguments, the superposed potentials of the power functions of two kinds satisfying the property of shape invariance are found, and their energy eigenvalues are calculated. Harmonic oscillator, Coulomb and Kratzer potentials are the examples of the superposed potential of the power functions, their energy levels are obtained via the superposed potential of the power functions.

Key words: superposed potential of the power functions, super-potential, shape invariance, energy level