ANSWER
The equivalent form is 8.
EXPLANATION
The given expression is
[tex] ({16}^{ \frac{3}{2} } )^{ \frac{1}{2} } [/tex]
This is the same as:
[tex] {16}^{ \frac{3}{2} \times \frac{1}{2} } [/tex]
[tex]{16}^{ \frac{3}{4}} [/tex]
[tex]{16}^{ \frac{3}{4}} = { {2}^{4 \times } }^{ \frac{3}{4}} [/tex]
We cancel out the common factors in the exponents to get,
[tex]{2}^{3} = 8[/tex]
The correct answer is B.
