Answer:
I believe that it is the last answer. have a great day!
Answer:

Step-by-step explanation:
We want to find an equivalent expression for
![(\sqrt[4]{9})^{ \frac{1}{2}x}](https://tex.z-dn.net/?f=%20%28%5Csqrt%5B4%5D%7B9%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%7D%20%20)
To find an equivalent expression, we need to apply the following property of exponents:
![{a}^{ \frac{m}{n}}=( \sqrt[n]{ {a}} )^{m}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%28%20%5Csqrt%5Bn%5D%7B%20%7Ba%7D%7D%20%20%29%5E%7Bm%7D%20)
We let a=9, n=4 and m=½x
Then :
![{9}^{ \frac{ \frac{1}{2}x}{4}}=( \sqrt[4]{ {9}} )^{ \frac{1}{2}x}](https://tex.z-dn.net/?f=%20%7B9%7D%5E%7B%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7B2%7Dx%7D%7B4%7D%7D%3D%28%20%5Csqrt%5B4%5D%7B%20%7B9%7D%7D%20%20%29%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%7D%20)
Simplify the left hand side to get:
![{9}^ {\frac{1}{8}x} =( \sqrt[4]{ {9}} )^{ \frac{1}{2}x}](https://tex.z-dn.net/?f=%7B9%7D%5E%20%7B%5Cfrac%7B1%7D%7B8%7Dx%7D%20%3D%28%20%5Csqrt%5B4%5D%7B%20%7B9%7D%7D%20%20%29%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%7D%20)
Therefore the correct answer is:

The simplified form of given expression is 
<em><u>Solution:</u></em>
Given that we have to simplify the expression
<em><u>Given expression is:</u></em>

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket


Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

Combine the like terms


Thus the expression is simplified
Answer:
12
Step-by-step explanation:there are only 12 girls so that is the only amount of groups to be formed