Aplicamos a regra: $\frac{a^x}{b^x}$$=\left(\frac{a}{b}\right)^x$, onde $a=d$, $b=dx$ e $x=5$

Aplicamos a regra: $\left(\frac{a}{b}\right)^n$$=\frac{a^n}{b^n}$, onde $a=d$, $b=dx$ e $n=5$

Aplicamos a regra: $\frac{a}{\frac{b}{c}}$$=\frac{ac}{b}$, onde $a=\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)$, $b=d^5$, $c=dx^5$, $a/b/c=\frac{\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)}{\frac{d^5}{dx^5}}$ e $b/c=\frac{d^5}{dx^5}$