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(20056)   (Show Source): You can put this solution on YOUR website!

To remove the parentheses, 

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



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



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:



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



Edwin

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