SOLUTION: Simplify: (2bc^-7 / 5b^-1c^-2)^3 Please show me step by step to get the answer. Thanks

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Simplify: (2bc^-7 / 5b^-1c^-2)^3 Please show me step by step to get the answer. Thanks      Log On


   

Question 475624: Simplify:
(2bc^-7 / 5b^-1c^-2)^3
Please show me step by step to get the answer. Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%282bc%5E-7%29%2F%285b%5E-1c%5E-2%29%5E3
:
Cube each term in the denominator
%282bc%5E-7%29%2F%285%5E3b%5E-3c%5E-6%29
:
%282bc%5E-7%29%2F%28125%2Ab%5E-3c%5E-6%29
Combine exponents of like terms, in a manner to have positive exponents
%282b%5E%281%2B3%29%29%2F%28125%2Ac%5E%28-6%2B7%29%29 = %282b%5E4%29%2F%28125%2Ac%29