Answer
$30.1\ AU$
Work Step by Step
Given \begin{equation}
a=\sqrt[3]{P^2}.
\end{equation} Find $a(165)$:
\begin{equation}
\begin{aligned}
a(165)&=\sqrt[3]{165^2}\\
&= 30.1.
\end{aligned}
\end{equation} The distance from the sun to Uranus is about $30.1\ AU$.
