Question

solve: √x⁶y³ ÷ ³√x²y​

Answer 1

Given: $\frac{\sqrt[]{x^6y^3} }{\sqrt[]{x^2y} }$

Equating: $\frac{\sqrt[]{x^6y^3} }{\sqrt[]{x^2y} } =\frac{x^3y \sqrt[]{y} }{x\sqrt[]{y} } times\frac{\sqrt[]{y} }{\sqrt[]{y} } = \frac{x^3y\sqrt[]{(y)^2} }{x\sqrt[]{(y)^2} } = \frac{x^3y(y)}{x(y)} =\frac{x^3y^2}{xy} = x^2y$

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