SOLUTION: 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 hav

Algebra ->  Radicals -> SOLUTION: 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 hav      Log On


   



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!

Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply and Simplify:
{cube root(9x^7y^2z)} * {cube root(12xy^5y^2)}
root%283%2C9x%5E7y%5E2z%29%2Aroot%283%2C12xy%5E5y%5E2%29
multiply what's inside the radicals
root%283%2C108x%5E8y%5E9z%29
root%283%2C27%2A4x%5E8y%5E9z%29
pull out the cubes
3x%5E2y%5E2%2Aroot%283%2C4yz%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
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!

%28root%283%2C+9x%5E7y%5E2z%29%29+%2A+%28root%283%2C+12xy%5E5y%5E2%29%29
%28root%283%2C+9x%5E7y%5E2z%29%29+%2A+%28root%283%2C+12xy%5E7%29%29
%28root%283%2C+108x%5E8y%5E9z%29%29 ------ Combining expressions
root%283%2C+3%5E3%2A4%2Ax%5E6%2Ax%5E2%2Ay%5E9z%29
highlight_green%28highlight_green%283x%5E2y%5E3root%283%2C+4x%5E2z%29%29%29
Based on the position of the "z" in your answer, it appears as though you may've meant:
%28root%283%2C+9x%5E7y%5E2z%29%29+%2A+%28root%283%2C+12xy%5E5z%5E2%29%29 instead of %28root%283%2C+9x%5E7y%5E2z%29%29+%2A+%28root%283%2C+12xy%5E5y%5E2%29%29