Step 1 :Given a geometric sequence with the first term as 5 and the common ratio as 3, we are asked to find the 9th term of the sequence.
Step 2 :The nth term of a geometric sequence can be found using the formula \(a * r^{(n-1)}\), where \(a\) is the first term, \(r\) is the common ratio, and \(n\) is the term number.
Step 3 :Substituting the given values into the formula, we get \(5 * 3^{(9-1)}\).
Step 4 :Solving the expression, we find that the 9th term of the sequence is 32805.
Step 5 :\(\boxed{32805}\) is the final answer.