To solve this problem, we will use the rules of exponents:
1. First, we will simplify the exponents by multiplying them: 3^(5) = 3x3x3x3x3 = 243, and 4^(2) = 4x4 = 16.
2. Next, we will rewrite the problem as 243 ÷ 16.
3. To divide these two numbers, we will use long division or a calculator. The result is 15.1875.
Therefore, the solution to 3^(5)÷4^(2) is 15.1875.
