SOLUTION: Simplify: Assume that b and c are positive. (8bc^3)^1/3 / (81b^-5c^3)^3/4 Please show me step by step to get the answer. Thanks

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Simplify: Assume that b and c are positive. (8bc^3)^1/3 / (81b^-5c^3)^3/4 Please show me step by step to get the answer. Thanks      Log On


   

Question 475628: Simplify: Assume that b and c are positive.
(8bc^3)^1/3 / (81b^-5c^3)^3/4
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!
%288bc%5E3%29%5E%281%2F3%29+%2F+%2881b%5E-5c%5E3%29%5E%283%2F4%29
:
= %282b%5E%281%2F3%29c%29+%2F+27b%5E%28-15%2F4%29c%5E%289%2F4%29%29 = %282b%5E%28%281%2F3%29%2B15%2F4%29%29+%2F+%2827c%5E%28%289%2F4%29-%284%2F4%29%29%29 = %282b%5E%28%284%2F12%29%2B%2845%2F12%29%29%29+%2F+%2827c%5E%285%2F4%29%29 = %282b%5E%2849%2F12%29%29+%2F+%2827c%5E%285%2F4%29%29
the exponent of b in the numerator is 49/12