SOLUTION: Please help me to understand how to work this out. Thanks ;) Simplify each expression write answer using positive exponents. (-3cd^2)^3(c^-1 d^-3)^3 ___________ _____

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me to understand how to work this out. Thanks ;) Simplify each expression write answer using positive exponents. (-3cd^2)^3(c^-1 d^-3)^3 ___________ _____      Log On


   

Question 174824: Please help me to understand how to work this out. Thanks ;)
Simplify each expression write answer using positive exponents.

(-3cd^2)^3(c^-1 d^-3)^3
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(c^3d)^5
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify each expression write answer using positive exponents.
(-3cd^2)^3(c^-1 d^-3)^3
_______________________
(c^3d)^5
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%28%28-3cd%5E2%29%5E3%28c%5E-1d%5E-3%29%5E3%29%2F%28c%5E3d%29%5E5 Expand everything
=%28%28-27c%5E3d%5E6%29%28c%5E-3d%5E-9%29%29%2Fc%5E15d%5E5 Cancel c^3 and c^-3
=%28%28-27d%5E6%29%2A%28d%5E-9%29%29%2Fc%5E15d%5E5 Combine d^6 and d^-9
=%28%28-27d%5E-3%29%29%2Fc%5E15d%5E5 Move d^-3 to DEN
=%28-27%29%2Fc%5E15d%5E8