Let's simplify the given expression step-by-step:
[tex]\[
\frac{\sqrt{16^2}}{2}
\][/tex]
1. Calculate the square of 16:
[tex]\[
16^2 = 256
\][/tex]
2. Take the square root of 256:
[tex]\[
\sqrt{256} = 16
\][/tex]
3. Place the square root result in the numerator:
[tex]\[
\frac{16}{2}
\][/tex]
4. Simplify the fraction by dividing the numerator by the denominator:
[tex]\[
\frac{16}{2} = 8
\][/tex]
Therefore, the simplified expression is:
[tex]\[
\frac{\sqrt{16^2}}{2} = 8
\][/tex]
