Respuesta :

Louli
Answer:
[tex]9^ \frac{x}{8} [/tex]

Explanation:
Before we begin, remember the following rules:
(xᵃ)ᵇ = xᵃᵇ
[tex] \sqrt[n]{x} = x^ \frac{1}{n} [/tex]

Now, for the given, we have:
[tex] \sqrt[4]{9} ^ \frac{x}{2} [/tex]

Applying the above rules, we can simplify the given as follows:
[tex] \sqrt[4]{9} ^ \frac{x}{2} [/tex]
[tex]9^ \frac{1*x}{4*2} = 9^ \frac{x}{8} [/tex]

This is equivalent to the second choice

Hope this helps :)
The given expression is:

[tex]( \sqrt[4]{9} )^{ \frac{x}{2} } [/tex]

We can change the radical sign to exponent, as shown below:

[tex](9^{ \frac{1}{4} })^{ \frac{x}{2} } [/tex]

The two exponents will be multiplied giving the following result:

[tex](9)^{ \frac{x}{8} } [/tex]

So, Option B gives the correct answer

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