Answer: 8 is the equivalent to the given expression.
Explanation:Here, the given expression is [tex](16^{3/2})^{1/2}[/tex]
Since, we can write, [tex](16^{3/2})^{1/2}= 16^{3/4}[/tex]
⇒[tex](16^{3/2})^{1/2}= (16^{1/4})^3[/tex]
⇒[tex](16^{3/2})^{1/2}= ((2^4)^{1/4})^3[/tex]
⇒[tex](16^{3/2})^{1/2}= 2^3[/tex]=8 (Because [tex](a^m)^n=a^{mn}[/tex])
