Question

MUITOS PONTOS
(X. Y⁴/x⁴ . Y²)²÷(x^-2 . Y^-2)⁵
Calcule e simplifique

Answer 1

$\frac{\frac {x . y^{4} }{x^{4} . y^{2} } ^{2} }{x^{-2} . y^{-2}^{5} } = x^{4} . y^{14}$

Answer 2

$\left(\dfrac{xy^4}{x^4y^2}\right)^2\div \left(x^{-2}\cdot y^{-2}\right)^5=\\\\\dfrac{x^2y^8}{x^8y^4}\div (x^{-10}\cdot y^{-10})=\\\\\dfrac{x^2y^8}{x^8y^4}\cdot \dfrac{1}{x^{-10}\cdot y^{-10}}=\\\\\dfrac{x^2y^8}{x^{-2}y^{-6}} = x^{2-(-2)}\cdot y^{8-(-6)}} = \\\boxed{\boxed{x^4y^{14}}}$