Question

Which of the following is equivalent to (16 3/2)^1/2 ? O 6 O 8 O 12 O 64

Answer 1

Step-by-step explanation:

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

$= { ({( {2}^{4}) }^{ \frac{3}{2} } )}^{ \frac{1}{2} }$

$= {2}^{4 \times \frac{3}{2} \times \frac{1}{2} }$

$= {2}^{ \frac{12}{4} }$

$= {2}^{3}$

$= 2 \times 2 \times 2$

$= 8$

The answer is B.