SOLUTION: Can someone show me how to do this,,,,,step, by step?> Thanks (-125x^9/5y^-3/2)^5/3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Can someone show me how to do this,,,,,step, by step?> Thanks (-125x^9/5y^-3/2)^5/3      Log On


   



Question 59217: Can someone show me how to do this,,,,,step, by step?> Thanks
(-125x^9/5y^-3/2)^5/3

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Rules we will be using:
highlight%28%28a%5Em%2Ab%5En%29%5Es=a%5E%28ms%29%2Ab%5E%28ns%29%29
highlight%28a%5E%28-m%29=1%2Fa%5Em%29
:
%28-125x%5E%289%2F5%29%2Ay%5E%28-3%2F2%29%29%5E%285%2F3%29 notice that %28-125%29=%28-5%29%28-5%29%28-5%29=%28-5%29%5E3
%28%28-5%29%5E3%2Ax%5E%289%2F5%29%2Ay%5E%28-3%2F2%29%29%5E%285%2F3%29

%28-5%29%5E%2815%2F3%29%2Ax%5E%2845%2F15%29%2Ay%5E%28-15%2F6%29
%28-5%29%5E5%2Ax%5E3%2Ay%5E%28-5%2F2%29
%28-5%29%5E5%2Ax%5E3%2F%28y%5E%285%2F2%29%29
-%283125x%5E3%2F%28y%5E%285%2F2%29%29%29
Happy Calculating!!!