Question

Calcule:::::::::::::

Answer 1

a)

$\sqrt[5]{\frac{x^4}{y^3}}\cdot\sqrt[5]{\frac{2x}{y^2}}=\sqrt[5]{\frac{x^4\cdot2x}{y^3\cdot y^2}}=\sqrt[5]{\frac{2x^5}{y^5}}=\sqrt[5]{2}}\cdot\sqrt[5]{\frac{x^5}{y^5}}= \sqrt[5]{2}\cdot\frac{x}{y}=\frac{\sqrt[5]{2}x}{y}$

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b)

$6\sqrt[3]{ab}\cdot2\sqrt[3]{a^2b^2}\cdot5\sqrt[3]{a^5b^7}=6\cdot2\cdot5\sqrt[3]{ab\cdot a^2b^2\cdot a^5b^7}=60\sqrt[3]{a^8b^{10}}\\=60\sqrt[3]{a^6b^9\cdot a^2b}=60\sqrt[3]{a^6b^9} \cdot \sqrt[3]{a^2b}=60a^2b^3\sqrt[3]{a^2b}$