Final answer:
The simplified expression is 2/(√2n^3).
Step-by-step explanation:
To simplify the expression 4/√(8n^9), let's first simplify the denominator.
The square root of 8 is 2√2. Next, we can rewrite n^9 as (n^3)^3, which simplifies to n^3.
So the expression becomes (4)/(2√2n^3). Next, we can simplify the fraction by dividing both the numerator and the denominator by 2.
The simplified expression is 2/(√2n^3).