Answer:
[tex] \dfrac{c^{10}}{d^{10}} [/tex]
Step-by-step explanation:
Although the way you wrote problem, this is not what it looks like, I think this is what you meant.
[tex] \dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} = [/tex]
[tex]= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}[/tex]
[tex] = c^{-6 - (-16)} \times d^{4 - 14} [/tex]
[tex] = c^{-6 + 16} \times d^{-10} [/tex]
[tex] = c^{10} \times d^{-10} [/tex]
[tex] = \dfrac{c^{10}}{d^{10}} [/tex]