Question 887357
Multiply and Simplify:
{cube root(9x^7y^2z)} * {cube root(12xy^5y^2)}


I think you would factor to get {cube root(9*12x^8y^7z^3)}

you would then pull out a 3x^2y^2z and have 3x^2y^2{cube root(4x^2y)}

would 3x^2y^2z{cube root(4x^2y)} be the final answer? Thanks!
<pre>
{{{(root(3, 9x^7y^2z)) * (root(3, 12xy^5y^2))}}}
{{{(root(3, 9x^7y^2z)) * (root(3, 12xy^7))}}}
{{{(root(3, 108x^8y^9z))}}} ------ Combining expressions
{{{root(3, 3^3*4*x^6*x^2*y^9z)}}}
{{{highlight_green(highlight_green(3x^2y^3root(3, 4x^2z)))}}}

Based on the position of the "z" in your answer, it appears as though you may've meant:
{{{(root(3, 9x^7y^2z)) * (root(3, 12xy^5z^2))}}} instead of {{{(root(3, 9x^7y^2z)) * (root(3, 12xy^5y^2))}}}