<PRE><B>Question 79366</B>
3 to the 1/2 power times 9 to the 1/3 power divided by 27 1/4 power
solve
This is the same as
{{{(3^(1/2)*9^(1/3))/27^(1/4)}}}
Change all the bases to 3
{{{(3^(1/2)*3^(2/3))/3^(3/4)}}}
And then use the rules of indices to resolve: add the powers on top and subtract the powers on the bottom.
You will end up with:
{{{3^((1/2)+(2/3)-(3/4))=3^(5/12)}}} 
</PRE>