Answer
$\dfrac{1}{p^{7/4}}$
Work Step by Step
$\begin{array}{ l c }
=\dfrac{p^{3/4}}{p^{10/4}} & \begin{array}{l}
\mathrm{Apply\ the\ rule}\\
\left( a^{m}\right)^{n} =a^{m\cdot n}
\end{array}\\
& \\
=\dfrac{1}{p^{10/4} \cdot p^{-3/4}} & \begin{array}{l}
\mathrm{Apply\ the\ rule}\\
a^{n} =\dfrac{1}{a^{-n}}
\end{array}\\
& \\
=\dfrac{1}{p^{10/4-3/4}} & \begin{array}{l}
\mathrm{Apply\ the\ rule}\\
a^{m} \cdot a^{-n} =a^{m-n}
\end{array}\\
& \\
=\dfrac{1}{p^{7/4}} & \mathrm{Simplify.}
\end{array}$
