SOLUTION: simplify: (-5r^2t^5u^6)^3

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Question 151305: simplify:
(-5r^2t^5u^6)^3

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-5r%5E2t%5E5u%5E6%29%5E%283%29 Start with the given expression.



%28%28-5%29%5E1r%5E2t%5E5u%5E6%29%5E%283%29 Rewrite -5 as %28-5%29%5E1


%28-5%29%5E%283%281%29%29r%5E%283%282%29%29t%5E%283%285%29%29u%5E%283%286%29%29 Distribute the outer exponent to the inner exponents


%28-5%29%5E3r%5E6t%5E15u%5E18 Multiply the exponents.


-125r%5E6t%5E15u%5E18 Cube -5 to get -125


So %28-5r%5E2t%5E5u%5E6%29%5E%283%29=-125r%5E6t%5E15u%5E18.