Final answer:
To simplify the expression 9√(0.56x⁷y¹²), we evaluate each term separately and combine them at the end. The simplified expression is 3√(14x⁷y¹²).
Step-by-step explanation:
To simplify the expression 9√(0.56xⁿy⁹) where x and y are nonnegative, we can break down each term in the radical separately. Let's start with the coefficient 9:
√(9) = 3
Next, let's simplify the expression inside the radical:
√(0.56xⁿy⁹) = √(0.56) √(xⁿ) √(y⁹) = √(14xⁿy⁹)
Putting everything together, we have 3√(14xⁿy⁹)