So,
We simply invert and multiply.
\(\frac{8d^{3} * 24}{6c * c^{3}d^{4}}\)
Re-arrange the numbers so that they are easier to understand.
\(\frac{(24)(8)(d^{3})}{(6c)(c^{3})(d^4)}\)
Factor.
\(\frac{(2^5)}{(c^4)(d)}\ or\ \frac{32}{c^{4}d}\)
Cancel out 1's.
