# How do you simplify the expression (c^4)^3/4*(12d^-6)/(15cd)^-1 using the properties?

${\left({c}^{4}\right)}^{3} / 4 \cdot \frac{12 {d}^{- 6}}{15 c d} ^ \left(- 1\right) = \frac{\left(12 {c}^{12}\right) \left(15 c d\right)}{4 {d}^{6}} = \frac{45 {c}^{13} d}{d} ^ 6 = \frac{45 {c}^{13}}{d} ^ 5$