9514 1404 393
Answer:
x = 1/6
Step-by-step explanation:
The relevant rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
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The fraction inside parentheses evaluates to ...
3^(3/4 -3/8) = 3^(3/8)
Then the whole expression evaluates to ...
(3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)
The value of x is 1/6.
