Henry Schwartz

05/27/2024 · Middle School

2. 6 If two positive integers \( a \) and \( b \) are written as \( a=x^{3} y^{2} \) and \( b=x y^{3} \), where \( x, y \) are prime numbers, then HCF \( (a, b) \) is \( \begin{array}{llll}\text { (a) } x y & \text { (b) } x y^{2} & \text { (c) } x^{2} y^{3} & \text { (d) } x^{2} y^{2}\end{array} \) \( \begin{array}{ll}\text { (b) Given that, } & a=x^{3} y^{3}=x \times x \times x \times y \times y \\ \text { and } & b=x y^{3}=x x y x y \times y\end{array} \)