Question 352213
{{{x^(1/5)*y^(1/3)*z^(1/6)^""}}} Start with the given expression.



Take note that the LCD is 30. So let's get each fraction to have a denominator of 30.



{{{x^(6/30)*y^(1/3)*z^(1/6)^""}}} Multiply the first fraction by {{{6/6}}}



{{{x^(6/30)*y^(10/30)*z^(1/6)^""}}} Multiply the second fraction by {{{10/10}}}



{{{x^(6/30)*y^(10/30)*z^(5/30)^""}}} Multiply the third fraction by {{{5/5}}}



{{{(x^6y^10z^5)^(1/30)^""}}} Factor out the denominator.



{{{root(30,x^6y^10z^5)}}} Convert to radical notation.



So the answer is D)