## anonymous one year ago 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.

1. misty1212

$\huge \sqrt[4]{x^3}\times x^{\frac{3}{2}}$?

2. misty1212

and $\huge y^6\times y^{\frac{1}{2}}$?

3. misty1212

$y^6\times y^{\frac{1}{2}}=y^{6+\frac{1}{2}}=y^{\frac{13}{2}}$

4. anonymous

$4\sqrt[3]{x}*x^\frac{ 3 }{ 2 }*y^6*y ^\frac{ 1 }{ 2 }$

5. misty1212

$4x^{\frac{1}{3}+\frac{3}{2}}=4x^{\frac{11}{6}}$

6. misty1212

so $4\sqrt[6]{x^{11}}\times \sqrt{y^{13}}$

7. anonymous

i got $4\sqrt[11]{x^6} \sqrt[13]{y^2}$

8. anonymous

is that correct?