Question

Which of the following is equivalent to

(16 3/2)^1/2 ?

O 6
O 8
O 12
O 64

Answer 1

Explanation:

`= { ({16}^{ (3)/(2) } )}^{ (1)/(2) }`

`= { ({( {2}^(4)) }^{ (3)/(2) } )}^{ (1)/(2) }`

`= {2}^{4 * (3)/(2) * (1)/(2) }`

`= {2}^{ (12)/(4) }`

`= {2}^(3)`

`= 2 * 2 * 2`

`= 8`

The answer is B.