(-2/3)^2001 * (2 + 1/4)^1000 = -(2/3)^2001 * (9/4)^1000 = -(2/3)^2001 * (3/2)^2000 = -(2/3 * 3/2)^2000 * (2/3) = -1^2000 * (2/3) = -1 * (2/3) = -2/3