Answer:
[tex] \sqrt[3]{ \frac{ {a}^{p} }{ {a}^{q} } } \times \sqrt[3]{ \frac{ {a}^{q} }{ {a}^{r} } } \times \sqrt[3]{ \frac{ {a}^{r} }{ {a}^{p} } } = \sqrt[3]{ \frac{ {a}^{p} }{ {a}^{q} } \times \frac{ {a}^{q} }{ {a}^{r} } \times \frac{ {a}^{r} }{ {a}^{p} } } = \sqrt[3]{1} = 1[/tex]