For this case we must find the value of the following expression:
[tex](16 ^ {\frac {3} {2}}) ^ {\frac {1} {2}}[/tex]
By definition of power properties we have:
[tex](a ^ b) ^ c = a ^ {b * c}[/tex]
So:
[tex]16 ^ {\frac {3} {4}}[/tex]
We have to:
[tex]16 = 2 ^ 4\\(2 ^ 4) ^ {\frac {3} {4}} =\\2 ^ {\frac {12} {4}} =\\2 ^ 3 = 8\\[/tex]
So, we have to:
[tex](16 ^ {\frac {3} {2}}) ^ {\frac {1} {2}} = 8[/tex]
Answer:
8
Option A
