We can simplify the expression as follows:
(5^(n+1) * 3^(n-1)) / 15^n
= (5^n 5 3^(n-1)) / (3^n * 5^n)
= (5 * 3^(n-1)) / 3^n
= 5 * (3^(n-1)) / 3^n
= 5 * (3^(n-1) / 3^n)
= 5 * 3^(-1)
= 5/3
Therefore, the simplified expression is 5/3.
We can simplify the expression as follows:
(5^(n+1) * 3^(n-1)) / 15^n
= (5^n 5 3^(n-1)) / (3^n * 5^n)
= (5 * 3^(n-1)) / 3^n
= 5 * (3^(n-1)) / 3^n
= 5 * (3^(n-1) / 3^n)
= 5 * 3^(-1)
= 5/3
Therefore, the simplified expression is 5/3.