Select the correct answer. Simplify. ((3x^2y^3)/(z^3))^3 A. (27x^6y^9)/(z^3) B. (3x^6y^9)/(z^9) C. (3x^5y^6)/(z^6) D. (27x^6y^9)/(z^9) c A ) B

To simplify the expression \((\frac{3x^2y^3}{z^3})^3\), we need to apply the power of a quotient rule and the power of a power rule.The power of a quotient rule states that \((\frac{a}{b})^n = \frac{a^n}{b^n}\).The power of a power rule states that \((a^m)^n = a^{m \cdot n}\).Let's apply these rules step by step:1. Apply the power of a quotient rule: 2. Apply the power of a power rule to both the numerator and the denominator: 3. Simplify each term: Putting it all together, we get: Therefore, the correct answer is:D.