Question 30069
I started working this one the other day and couldn't post.

{{{ root ( 3, 50x^10y) * root ( 3, 25x^16y^7)  }}} since they both have a cube root ... just bring it all under one root

{{{ root ( 3, 50x^10y * 25x^16y^7)  }}} combine like terms

{{{ root ( 3, 50(25)x^26y^8 )  }}} factor the 50 and 25
{{{ root ( 3, 2*5*5*5*5*x^26y^8 )  }}} since this is a cube root, take things out in groups of 3
{{{ 5x^8y^2root ( 3, 2*5*x^2y^2 )  }}}
{{{ (5x^8y^2)root ( 3, 10x^2y^2 )  }}}