Write 5 squared cubed cubed n squared 7 as a single radical using the smallest possible root

To simplify the expression 5^2^3^3 * n^2 * 7, we can start by applying the exponents.

5^2^3^3 = 5^(2^27).

Since 2^27 is a large number, it is not possible to simplify it using smaller roots. So we can represent 5^(2^27) as 5^(2^27).

Therefore, a single radical expression for the given expression is: 5^(2^27) * n^2 * 7.