EN
By applying Extended Transformation method we have generated exact solution of D-dimensional radial Schrödinger equation for a set of power-law multi-term potentials taking singular potentials $$V(r) = ar^{ - \tfrac{1}
{2}} + br^{ - \tfrac{3}
{2}}$$, $$V(r) = ar^{\tfrac{2}
{3}} + br^{ - \tfrac{2}
{3}} + cr^{ - \tfrac{4}
{3}}$$, V(r) = ar + br
−1 + cr
2 and V(r) = ar
2+br
−2+cr
−4+dr
−6 as input reference. The restriction on the parameters of the given potentials and angular momentum quantum number ℓ are obtained. The multiplet structure of the generated exactly solvable potentials are also shown.