[tex] \sf \: ( \frac{3 {c}^{2} {d}^{4} }{ {2c}^{3} {d}^{3} } ) ^{3} [/tex]
Simplify the expression by cancelling the like terms
[tex] \sf \: ( \frac{3d}{2c} )^{3} [/tex]
To raise a fraction to a power, raise the numerator and denominator to that power
[tex] \boxed{ \tt \: \frac{27 {d}^{3} }{ {8c}^{3} } }[/tex]
➪ Therefore, Option B is the correct choice!!~
