Question

Simplify the expression.

the quantity x to the three halves power end quantity to the power of 6


x to the power of one ninth

x to the power of one sixth

x6

x9

Answer 1

LAST OPTION:
`x^9`

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^(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^{((3)/(2)*6)}=x^{((3*6)/(2))}=x^{(18)/(2)}=x^9`

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