Question

Please help Me. Which is equivalent

Answer 1

ANSWER

The equivalent form is 8.

EXPLANATION

The given expression is

$({16}^{ \frac{3}{2} } )^{ \frac{1}{2} }$

This is the same as:

${16}^{ \frac{3}{2} \times \frac{1}{2} }$

${16}^{ \frac{3}{4}}$

${16}^{ \frac{3}{4}} = { {2}^{4 \times } }^{ \frac{3}{4}}$

We cancel out the common factors in the exponents to get,

${2}^{3} = 8$

The correct answer is B.