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

The given expression is:


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

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


`(9^{ (1)/(4) })^{ (x)/(2) }`

The two exponents will be multiplied giving the following result:


`(9)^{ (x)/(8) }`

So, Option B gives the correct answer

Answer 2

Answer:

`9^ (x)/(8)`

Step-by-step explanation:
Before we begin, remember the following rules:
(xᵃ)ᵇ = xᵃᵇ

`\sqrt[n]{x} = x^ (1)/(n)`

Now, for the given, we have:

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

Applying the above rules, we can simplify the given as follows:

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

`9^ (1*x)/(4*2) = 9^ (x)/(8)`

This is equivalent to the second choice

Hope this helps :)