16. \( \frac{2^{2 / 5}}{2} \)

To simplify \( \frac{2^{2 / 5}}{2} \), remember that dividing by \( 2 \) is the same as subtracting \( 1 \) in the exponent of \( 2 \). So, we can rewrite this expression as \( 2^{2/5 - 1} \) which equals \( 2^{2/5 - 5/5} = 2^{-3/5} \). This is a neat way to show how exponent rules come into play! To further understand \( 2^{-3/5} \), we can rewrite it as \( \frac{1}{2^{3/5}} \). This helps us visualize it as the reciprocal of a root, specifically \( \frac{1}{\sqrt[5]{2^3}} \), which means it’s the fifth root of \( 8 \). Such transformations can often help in evaluating or estimating the value of expressions when tackling different mathematical challenges!