sqrt[5]{frac{128 x^{7} y^{15}}{x y^{7}}}

Question

Accepted Answer

Step:1 ：Simplify the expression inside the fifth root: (frac{128x^{7}y^{15}}{xy^{7}} = 128x^{6}y^{8})Step:2 ：Take the fifth root of the simplified expression: (sqrt[5]{128x^{6}y^{8}} = 2 cdot 2^{frac{2}{5}} cdot (x^6 y^8)^{frac{1}{5}})Step:3 ：(boxed{2 cdot 2^{frac{2}{5}} cdot (x^6 y^8)^{frac{1}{5}}})

Answer

Step: 1 ：Simplify the expression inside the fifth root: (frac{128x^{7}y^{15}}{xy^{7}} = 128x^{6}y^{8})Step: 2 ：Take the fifth root of the simplified expression: (sqrt[5]{128x^{6}y^{8}} = 2 cdot 2^{frac{2}{5}} cdot (x^6 y^8)^{frac{1}{5}})Step: 3 ：(boxed{2 cdot 2^{frac{2}{5}} cdot (x^6 y^8)^{frac{1}{5}}})

$\sqrt[5]{\frac{128 x^{7} y^{15}}{x y^{7}}}$

Answer

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