Question

Simplify the expression.
(x 3/2)6

Answer 1

For this case we must simplify the following expression:

`(x ^ {\frac {3} {2}}) ^ 6`

We have that by definition of properties of powers that is fulfilled:

`(a ^ n) ^ m = a ^ {n * m}`

Then, rewriting the expression:

`x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9`

Answer:

`(x^{(3)/(2)})^6=x^9`