SOLUTION: How do you simplify {{{(x^(1/3)y)^3}}} * {{{ sqrt( x^4y^6 ) }}}? I could not figure out how to put fraction exponents on the formula plotting system. The caret symbols are exponen

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you simplify {{{(x^(1/3)y)^3}}} * {{{ sqrt( x^4y^6 ) }}}? I could not figure out how to put fraction exponents on the formula plotting system. The caret symbols are exponen      Log On


   



Question 741204: How do you simplify %28x%5E%281%2F3%29y%29%5E3 * +sqrt%28+x%5E4y%5E6+%29+?
I could not figure out how to put fraction exponents on the formula plotting system. The caret symbols are exponents.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do you simplify %28x%5E%281%2F3%29y%29%5E3 * +sqrt%28+x%5E4y%5E6+%29+
Cube terms inside the brackets, factor to reveal the squares inside the radiacal
x%2Ay%5E3 * +sqrt%28x%5E2%2Ax%5E2y%5E2%2Ay%5E2%2Ay%5E2+%29+
extract the square roots
x%2Ay%5E3 * x%2Ax%2Ay%2Ay%2Ay%29+
x%2Ay%5E3 * x%5E2%2Ay%5E3+
combine like terms
x%5E3y%5E6