SOLUTION: Hello. Perform the operations and simplify: (a^3)^2/b^-1 / (a^3)-2/b^-1 thanks!

Algebra ->  Equations -> SOLUTION: Hello. Perform the operations and simplify: (a^3)^2/b^-1 / (a^3)-2/b^-1 thanks!      Log On


   

Question 186106: Hello.
Perform the operations and simplify:
(a^3)^2/b^-1 / (a^3)-2/b^-1
thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the operations and simplify:
(a^3)^2/b^-1 / (a^3)-2/b^-1
;
Assume the problem is
%28a%5E3%29%5E2%2Fb%5E-1
---------
%28a%5E3%29%5E-2%2Fb%5E-1
:
Multiply the numerator exponents
%28a%5E6%29%2Fb%5E-1
---------
%28a%5E-6%29%2Fb%5E-1
Reciprocals get rid of the neg exponents
%28a%5E6%2Ab%29%2F1
---------
%28b%29%2Fa%5E6
:
Invert the dividing fraction and multiply, b's cancel
a%5E6%2Ab * a%5E6%2Fb = a%5E6%2Aa%5E6 = a%5E12