Let A be a commutative power-associative nilalgebra: In this paper we prove that when A (of characteristic &#8800; 2) is of dimension < 8 and x4 = 0 for all x <IMG SRC="/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>A; then ((A²)²)² = 0: That is, A is solvable. We conclude that if A is of dimension < 7 over a field of characteristic &#8800; 2, 3 and 5; then A is solvable