SOLUTION: Can I please get help to simply the following question? (3b^2c^3 / 5b^-3c^-4)^-4 Thank you

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Question 814041: Can I please get help to simply the following question?
(3b^2c^3 / 5b^-3c^-4)^-4
Thank you
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283%2Ab%5E2%2Ac%5E3%29%2F+5b%5E%28-3%29c%5E%28-4%29%29%5E%28-4%29%29
To remove the parentheses, 

1. Make sure every factor has an exponent.
So we give 3 and 5 an exponent of 1

%28%283%5E1%2Ab%5E2%2Ac%5E3%29%2F+5%5E1b%5E%28-3%29c%5E%28-4%29%29%5E%28-4%29%29

2. multiply every exponent inside the parentheses 
by the exponent just outside the paretheses and
remove the parentheses:

%283%5E%28-4%29%2Ab%5E%28-8%29%2Ac%5E%28-12%29%29%2F%285%5E%28-4%29b%5E12c%5E16%29

We get all the exponents positive by moving every
factor with a negative exponent from the bottom
to the top or from the top to the bottom. Leave
the factors with positive exponents where they 
are:

5%5E4%2F%283%5E4b%5E8c%5E12b%5E12c%5E16%29

Add exponents of factors with the same base.
Write 54 as 125 and 34 as 81. 

625%2F%2881b%5E20c%5E28%29

Edwin