$$(-0.5)^3 \cdot (-1\frac{1}{2})^4 = (-\frac{1}{2})^3 \cdot (-\frac{3}{2})^4 = -\frac{1}{8} \cdot \frac{81}{16} = -\frac{81}{128}$$
Ответ: $$-\frac{81}{128}$$