((16m^3)/(n))^1/4((4n^-1)/(m^2))^1/2= square (Simplify your answer. Type exponential notation with pc

To simplify the expression \((\frac {16m^{3}}{n})^{1/4}(\frac {4n^{-1}}{m^{2}})^{1/2}\), we will follow these steps:1. Simplify each part of the expression separately.2. Combine the simplified parts.### Step 1: Simplify \((\frac {16m^{3}}{n})^{1/4}\) We know that , so: Thus, ### Step 2: Simplify \((\frac {4n^{-1}}{m^{2}})^{1/2}\) We know that , so: And, Thus, ### Step 3: Combine the simplified partsNow we multiply the two simplified parts together: Combine the constants and the exponents: Simplify the exponents of and : So, the simplified expression is: