Which expression is equivalent to \( 16 s^{\frac{1}{2}} \) ? \( 8 \sqrt{s} \frac{4}{s} \frac{4}{\sqrt{s}} \)

To find an expression equivalent to \( 16 s^{\frac{1}{2}} \), let’s analyze the options provided. First, \( 8 \sqrt{s} \) simplifies to \( 8 s^{\frac{1}{2}} \), which isn’t equal to \( 16 s^{\frac{1}{2}} \). Next, \( \frac{4}{s} \) doesn’t apply as it contains an inverse of \( s \). However, if we consider \( \frac{4}{\sqrt{s}} \), we can reorganize this expression by multiplying it by \( 4 \sqrt{s} \). This gives us \( 4 \cdot 4 \cdot s^{\frac{1}{2}} = 16 s^{\frac{1}{2}} \), indicating that \( \frac{4}{\sqrt{s}} \) isn’t a correct match on its own. Hence, neither option matches \( 16 s^{\frac{1}{2}} \). So, looking at these closely, the answer is simply none of the options presented correctly match \( 16 s^{\frac{1}{2}} \).