contestada

Which expression is equivalent to [tex]\sqrt[4]{\frac{16x^{11}y{8} }{81x^{7} y^{2} } }[/tex]? Assume x > 0 and y[tex]\neq 0[/tex].

Respuesta :

akiran007

Answer:

xy  \sqrt{4y} /3[/tex]

Step-by-step explanation:

[tex]\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[/tex]