Question

What is the value of x?

Enter your answer as the correct value, like this: 42

If your answer is a fraction, such as 314, enter it like this: 3/14

Answer 1

1/6

Explanation:

First, we'll simplify the inside portion of the question.

`(3^(3/4))/(3^(3/8)) =3^(3/4-3/8)=3^(3/8)\\`

Next, we are raising this to the 4/9 power.

`(3^(3/8))^(4/9) = 3^((3/8) * (4/9)) = 3^(1/6)`

Thus, x = 1/6.