If you remember, ^{a}√x = x^{1/a}
and x^{(a•b)} = (x^{a})^{b}
we can take your eqn ^{3}√x^{6}y^{5}
and convert it to
^{3}√x^{6}y^{5} = (x^{6}y^{5})^{1/3}= x^{6/3} y^{5/3}
x^{6/3} simplifies to x^{2 }because 6/3 = 2
y^{5/3} simplifies to y(^{3}√y^{2) } because y^{5/3} = y^{(3+2)/3} = y^{3/3} y^{2/3 }= y(^{3}√y^{2}) which doesn't look very simplified,but it is
so your answer would be
x^{2}y (^{3}√y2)^{
}
10/6/2013

Felice R.