SOLUTION: Simplify completely with positive exponents a^2 b^-3 DIVIDED BY a^-4 b^2

Algebra ->  Equations -> SOLUTION: Simplify completely with positive exponents a^2 b^-3 DIVIDED BY a^-4 b^2      Log On


   

Question 246773: Simplify completely with positive exponents
a^2 b^-3
DIVIDED BY
a^-4 b^2
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 b^-3
DIVIDED BY
a^-4 b^2
b^-3 means 1/b^3
a^-4 means 1/a^4
so that puts all the A's on top and all the B's on bottom.
so we have (a^2*a^4)/(b^2*b^3)
so we add the 2 and 4
and we add the 2 and 3
a^6/b^5