Simplify : (x^5 ÷ x^2) x y^2 x y^3

(x 5 ÷ x 2 ) y 2 y 3 = x (5-2) y 2 y 3 = x 3 y 2 y 3 = x 3 y (2+3) = x 3 y 5 Hence, (x 5 ÷ x 2 ) y 2 y 3 = x 3 y 5

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(x⁵ ÷ x²) $\times$ y² $\times$ y³

= x^(5-2) $\times$ y² $\times$ y³

= x³ $\times$ y² $\times$ y³

= x³ $\times$ y⁽²⁺³⁾

= x³ $\times$ y⁵

Hence, (x⁵ ÷ x²) $\times$ y² $\times$ y³ = x³y⁵

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