In the following, simplify using absolute values signs as needed. 80s15

Given information: An expression is given as ${\displaystyle \sqrt{80s^{15}}}$.
Calculations: We have been given an expression is ${\displaystyle \sqrt{80s^{15}}}$.
To simplify the radical expressions by using absolute value as needed, we must know about the radical properties and the index value of root is even or odd as shown below:
We know that, ${\displaystyle {\left(ab\right)}^m=a^m\cdot b^m}$ and the corresponding product property of radical expression is ${\displaystyle \sqrt{n}\left\{ab\right\}=\sqrt{n}\left\{a\right\}\cdot \sqrt{n}\left\{b\right\}}$.
${\displaystyle \Rightarrow \sqrt{80s^{15}}}$ [Simplify the square root of ${\displaystyle 80s^{15}}$ with radical properties]
${\displaystyle \Rightarrow \sqrt{16s^{14}\cdot 5s}}$ [Rewrite ${\displaystyle 80s^{15}=16s^{14}\cdot 5s}$]
${\displaystyle \Rightarrow \sqrt{16s^{14}}\cdot \sqrt{5s}}$ [By using radical property ${\displaystyle \sqrt{n}\left\{ab\right\}=\sqrt{n}\left\{a\right\}\cdot \sqrt{n}\left\{b\right\}}$]
${\displaystyle \Rightarrow 4\left|s^7\right|\sqrt{5s}}$ [${\displaystyle \sqrt{n}\left\{a^n\right\}=\left|a\right|}$, if the value of index is even]
Hence, the simplification of ${\displaystyle \sqrt{80s^{15}}is4\left|s^7\right|\sqrt{5s}}$