SOLUTION: {{{(3a^-3b^2c^4/6a^2b^-2c^4)^2}}} please help me simplify with the answer only having positive exponents thanks

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: {{{(3a^-3b^2c^4/6a^2b^-2c^4)^2}}} please help me simplify with the answer only having positive exponents thanks      Log On


   



Question 439078: %283a%5E-3b%5E2c%5E4%2F6a%5E2b%5E-2c%5E4%29%5E2 please help me simplify with the answer only having positive exponents
thanks

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%283a%5E-3b%5E2c%5E4%2F6a%5E2b%5E-2c%5E4%29%5E2 please help me simplify with the answer only having positive exponents
-----------------------
%283a%5E-3b%5E2c%5E4%2F6a%5E2b%5E-2c%5E4%29%5E2
Cancel the 3
= %28a%5E-3b%5E2c%5E4%2F2a%5E2b%5E-2c%5E4%29%5E2
Cancel c^4
= %28a%5E-3b%5E2%2F2a%5E2b%5E-2%29%5E2
Multiply NUM and DEN by a^3
= %28b%5E2%2F2a%5E5b%5E-2%29%5E2
Multiply NUM and DEN by b^2
= %28b%5E4%2F2a%5E5%29%5E2
= b%5E8%2F4a%5E10