Answer:
1/6
Step-by-step explanation:
First, we'll simplify the inside portion of the question.
[tex]\frac{3^{3/4}}{3^{3/8}} =3^{3/4-3/8}=3^{3/8}\\[/tex]
Next, we are raising this to the 4/9 power.
[tex](3^{3/8})^{4/9} = 3^{(3/8) * (4/9)} = 3^{1/6}[/tex]
Thus, x = 1/6.
