SOLUTION: Simplify. Assume all variables represent nonzero integers. 3^(q+3) - 3^2(3^q) ----------- ------ 3(3^q+4) The book's answer was 2/27 but I don't know how to solve it.

Question 975631: Simplify. Assume all variables represent nonzero integers.
3^(q+3) - 3^2(3^q)
------------------
3(3^q+4)
The book's answer was 2/27 but I don't know how to solve it.
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!




We add the exponents of 3 in the SECOND terms on top, which are 2 and q,
we get:



Change the 3 in the bottom to 3¹



Then add the exponents of 3 in the bottom:



Then make this into two fractions:



Subtract exponents of 3 in the fractions:



Simplify the exponents:





Get rid of the negative exponents by putting them in the
denominators with positive exponents:





Get an LCD of 27







Edwin

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