Answer: [tex]\frac{1}{2x^{5}}[/tex]
Solution: [tex]\frac{x^{-12}\cdot x^{4}}{2x^{-3}}[/tex]
[tex]= \frac{x^{-8}}{2x^{-3}}[/tex]
[tex]= \frac{\frac{1}{x^{8}}}{\frac{2}{x^{3}}}[/tex]
[tex]= \frac{1}{x^{8}} \cdot \frac{x^{3}}{2}[/tex]
[tex]= \frac{x^{3}}{2x^{8}}[/tex]
[tex]= \frac{1}{2x^{5}}[/tex]
