Question 1198141
<pre>

{{{(sqrt(x)^("2/3") sqrt(x)^("1/3") - 3sqrt(x))/(sqrt(x)^("1/4") sqrt(x)^("3/4") + sqrt(x))}}}

Add the exponents when the powers of {{{sqrt(x)}}} are multiplied.

{{{(sqrt(x)^("2/3"+"1/3") - 3sqrt(x))/(sqrt(x)^("1/4"+"3/4")+ sqrt(x))}}} 

Complete the addition:

{{{(sqrt(x)^("3/3") - 3sqrt(x))/(sqrt(x)^("4/4")+ sqrt(x))}}} 

{{{(sqrt(x)^("1") - 3sqrt(x))/(sqrt(x)^("1")+ sqrt(x))}}}

{{{(sqrt(x) - 3sqrt(x))/(sqrt(x)+ sqrt(x))}}}  

{{{(1sqrt(x) - 3sqrt(x))/(1sqrt(x)+ 1sqrt(x))}}}

{{{(-2sqrt(x))/(2sqrt(x))}}}

{{{(-2cross(sqrt(x)))/(2cross(sqrt(x)))}}}

{{{(-2)/2}}}

{{{-1}}}

Edwin</pre>