Question

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Answer 1

a) \(\dfrac{y}{x}\cdot\sqrt{\dfrac{x^2}{y^4}}=\dfrac{y}{x}\cdot\dfrac{x}{y^2}=\dfrac{1}{y}\)

b) \(2y^2\cdot\sqrt{\dfrac{x^4}{4y^2}}=2y^2\cdot\dfrac{x^2}{-2y}=-\dfrac{2x^2y^2}{2y}=-x^2y\)

c) \(5xy\cdot\sqrt{\dfrac{25x^2}{y^6}}=5xy\cdot\dfrac{-5x}{y^3}=\dfrac{-25x^2y}{y^3}=\dfrac{-25x^2}{y^2}\)

d) \(0.2x^3y^3\cdot\sqrt{\dfrac{16}{x^4y^8}}=\dfrac{1}{5}x^3y^3\cdot\dfrac{4}{x^2y^4}=\dfrac{4x}{5y}\)