8
1) Evaluating this power:
[tex](16^{\frac{3}{2}})^{\frac{1}{2}}[/tex]2) Let's first multiply the exponents numerator by numerator, denominator, by denominator:
[tex]16^{\frac{3}{4}}[/tex]3) We can rewrite this as the same as the quartic root of 16 raised to 3rd power
[tex]\sqrt[4]{16^3}[/tex]This is equal to 8