For this case we must simplify the following expression:[tex](x ^ {\frac {3} {2}}) ^ 6[/tex]
We have that by definition of properties of powers that is fulfilled:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Then, rewriting the expression:
[tex]x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9[/tex]
ANswer:
Option D
