Mathematics, 20.12.2019 23:31 diamondd4
Which expression is equivalent to ![\sqrt[4]{\frac{16x^{11}y{8} }{81x^{7} y^{2} } }](/tex.php?f=\sqrt[4]{\frac{16x^{11}y{8} }{81x^{7} y^{2} } })
? assume x > 0 and y
.
Answers: 1
![\sqrt[4]{16x^{11-7} }y^{8-2} } /\sqrt[4]{81} \\\= \sqrt[4]{4^{2} x^{4} }y^{6} } /\sqrt[4]{3^{4} } \\\\= ({4^{2} x^{4} }y^{6} })^{\frac{1}{4} } /( {3^{4})^{\frac{1}{4} } \\=({4^{\frac{1}{2} } x }y^{\frac{3}{2} } })/3\\=xy \sqrt{4y} /3](/tpl/images/0428/3165/e50ef.png)
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