Divide:

- 24x⁴d³ by - 2x²d⁵

(- 24x⁴d³) ÷ (- 2x²d⁵)

= $\dfrac{24}{2}$ x^(4-2)d^(3-5)

= 12 x²d^(-2)

= $\dfrac{12x^2}{d^2}$

Hence, (- 24x⁴d³) ÷ (- 2x²d⁵) = $\dfrac{12x^2}{d^2}$