SOLUTION: simplify: (3y^3m^-5)^5

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Question 167710: simplify:
(3y^3m^-5)^5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!



So %283y%5E3m%5E%28-5%29%29%5E5=%28243y%5E15%29%2F%28m%5E25%29


Notes:

1) m%3C%3E0 (otherwise a division by zero would occur)


2) m%5E%28-5%29=1%2F%28m%5E5%29


3) 3=3%5E1


3) Since %28x%5Ey%29%5Ez=x%5E%28y%2Az%29, this means that %283y%5E3%29%5E5=%283%5E1y%5E3%29%5E5=3%5E%281%2A5%29y%5E%283%2A5%29=3%5E5y%5E15=243y%5E15