Question

I'm really bad at math , please help! If you could also put like how you came to the answer that would be great

Answer 1

Answer:
$9^ \frac{x}{8}$

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

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

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

This is equivalent to the second choice

Hope this helps :)

Answer 2

The given expression is:

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

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

$(9^{ \frac{1}{4} })^{ \frac{x}{2} }$

The two exponents will be multiplied giving the following result:

$(9)^{ \frac{x}{8} }$

So, Option B gives the correct answer