Question 1041277
<pre>
Since there are no parentheses, and it doesn't factorise as you
wrote it, it is impossible to tell what you meant to be part 
of an exponent and what is not part of an exponent.  If you
post again be sure to put in parentheses because you can't type 
exponents as superscripts.

I'll just take a wild guess that you meant this:

2^(3x+2y) + 2^(4+y*3)-2^(y-6)

which means this:

{{{2^(3x+2y) + 2^(4+y*3)-2^(y - 6)}}}

Then factorise out {{{2^(y-6)}}}

{{{2^(y-6)(2^(3x+y+6)^""+2^(2y+10)-1^"")

}}}

Explanation of the exponents in the parentheses:

The first exponent 3x+y+6 came from subtracting 
(3x+2y)-(y-6) which equals 3x+2y-y+6 or 3x+y+6

The second exponent 2y+10 came from subtracting 
(4+y*3)-(y-6) which equals 4+3y-y+6 or 2y+10.

Edwin</pre>