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:
[tex](x^{\frac{3}{2}})^6=x^9[/tex]
