Question

Simplify the expression.

Answer 1

Answer:

LAST OPTION: $x^9$

Step-by-step explanation:

For this exercise it is important to remember the Power of a power property, which states that:

$(a^m)^n=a^{mn}$

The expression given in the exercise is:

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

Therefore, in order to simplify it, you  must apply the Power of a power property explained before.

Then, you get the following expression:

$=x^{(\frac{3}{2}*6)}=x^{(\frac{3*6}{2})}=x^{\frac{18}{2}}=x^9$

As you can notice, the expression obtained matches with the expression provided in the last option.