anonymous
  • anonymous
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.
Mathematics
schrodinger
  • schrodinger
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misty1212
  • misty1212
\[\huge \sqrt[4]{x^3}\times x^{\frac{3}{2}}\]?
misty1212
  • misty1212
and \[\huge y^6\times y^{\frac{1}{2}}\]?
misty1212
  • misty1212
\[y^6\times y^{\frac{1}{2}}=y^{6+\frac{1}{2}}=y^{\frac{13}{2}}\]

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anonymous
  • anonymous
\[4\sqrt[3]{x}*x^\frac{ 3 }{ 2 }*y^6*y ^\frac{ 1 }{ 2 }\]
misty1212
  • misty1212
\[4x^{\frac{1}{3}+\frac{3}{2}}=4x^{\frac{11}{6}}\]
misty1212
  • misty1212
so \[4\sqrt[6]{x^{11}}\times \sqrt{y^{13}}\]
anonymous
  • anonymous
i got \[4\sqrt[11]{x^6} \sqrt[13]{y^2}\]
anonymous
  • anonymous
is that correct?

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