The simplified form of the expression (16y^5/4y^3)^{1/2} is 4y.
To simplify the expression (16y^5/4y^3)^1/2, follow these steps:
1. Simplify the fraction inside the parenthesis: (16y^5)/(4y^3) = 4y^2.
2. Apply the square root to the simplified fraction: (4y^2)^(1/2).
3. Use the property a^(mn) = (a^m)^n: (4^1 * (y^2)^(1/2)).
4. Evaluate 4 to the power of 1: (4 * (y^2)^(1/2)).
5. Apply the square root to y^2: 4y^1.
6. Simplify y^1: 4y.
Therefore, the simplified form is 4y.