Question

Please help
Me. Which is equivalent

Answer 1

The equivalent form is 8.

Step-by-step explanation

The given expression is

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

This is the same as:

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

`{16}^{ (3)/(4)}`

`{16}^{ (3)/(4)} = { {2}^(4 * ) }^{ (3)/(4)}`

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

`{2}^(3) = 8`

The correct answer is B.