Question

What is the value of (16^3/2)^1/2?
8
64
256
4096

Answer 1

For this case we must find the value of the following expression:

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

By definition of power properties we have:

`(a ^ b) ^ c = a ^ {b * c}`

So:

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

We have to:

`16 = 2 ^ 4\\(2 ^ 4) ^ {\frac {3} {4}} =\\2 ^ {\frac {12} {4}} =\\2 ^ 3 = 8\\`

So, we have to:

`(16 ^ {\frac {3} {2}}) ^ {\frac {1} {2}} = 8`

Answer:

8

Option A

Answer 2

a) 8

Explanation:

Given that,

(16^3/2)^1/2

16 can be written as 4^2

=> (4^2*3/2)^12

=> (4^3)^1/2

=> 64^1/2

=>
`√(64)`

=>
`√(8^2)`

=> 8