6- Find the quotient of: \( \frac{-21 x^{5} y^{3}}{-3 x^{2} y^{2}} \)

To find the quotient of the expression \( \frac{-21 x^{5} y^{3}}{-3 x^{2} y^{2}} \), start by simplifying the coefficients and the variables separately. First, divide the coefficients: \( \frac{-21}{-3} = 7 \). Next, apply the rules of exponents to simplify the variables. For \( x^{5} / x^{2} \), subtract the exponents: \( 5 - 2 = 3 \), giving us \( x^{3} \). For \( y^{3} / y^{2} \), again, subtract the exponents: \( 3 - 2 = 1 \), resulting in \( y^{1} \) or just \( y \). Combining everything, the final answer is: \[ 7x^{3}y \]