Question 978039
Trying to figure what you are really starting with,  my guess is this:


{{{(a^(1/2)b)^(1/2)(ab^(1/2))}}}, and you probably see two associated groupings.


{{{(a^(1/2)b^((1/2)(1/2)))(ab^(1/2))}}}, and the rendering may not display very well.


{{{(a^(1/2)b^(1/4))(ab^(1/2))}}}


{{{a^(1/2)b^(1/4)ab^(1/2)}}}
and now you can use commutative property


{{{a^(1/2)*a*b^(1/4)*b^(1/2)}}}



Rule for exponents,
{{{highlight(a^(3/2)b^(3/4))}}}


That still might be displaying poorly, so in pure text,
a^(3/2)b^(3/4)