SOLUTION: Use rational exponents to write x^1/5*y^1/3*z^1/6 as a single radical expression.

Get the common denominator of all those denominators
of the exponents

That is we want the LCM of 5,3,6, which is 30

So we write  as 
we write  as 
and we write  as 



Now use the principle 
on each factor:



and then multiply under the radicals with common
index:



That's a single radical expresion.

Edwin