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Simplify the expression four root of order three of x times x to the power of start fraction three over two end fraction end power times y to the power of six end power times y to the power of start fraction one over two end fraction end power and rewrite it in radical form.
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\[\huge \sqrt[4]{x^3}\times x^{\frac{3}{2}}\]?
and \[\huge y^6\times y^{\frac{1}{2}}\]?
\[y^6\times y^{\frac{1}{2}}=y^{6+\frac{1}{2}}=y^{\frac{13}{2}}\]
\[4\sqrt[3]{x}*x^\frac{ 3 }{ 2 }*y^6*y ^\frac{ 1 }{ 2 }\]
\[4x^{\frac{1}{3}+\frac{3}{2}}=4x^{\frac{11}{6}}\]
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so \[4\sqrt[6]{x^{11}}\times \sqrt{y^{13}}\]
i got \[4\sqrt[11]{x^6} \sqrt[13]{y^2}\]
is that correct?
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