SOLUTION: how do I simplify: (-4t^2p^4u^6)^4

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Question 151301: how do I simplify:
(-4t^2p^4u^6)^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-4t%5E2p%5E4u%5E6%29%5E4 Start with the given expression.



%28%28-4%29%5E1t%5E2p%5E4u%5E6%29%5E4 Rewrite -4 as %28-4%29%5E1


%28-4%29%5E%284%281%29%29t%5E%284%282%29%29p%5E%284%284%29%29u%5E%286%284%29%29 Distribute the outer exponent to the inner exponents


%28-4%29%5E4t%5E8p%5E16u%5E24 Multiply the exponents.


256t%5E8p%5E16u%5E24 Raise -4 to the 4th power to get 256


So %28-4t%5E2p%5E4u%5E6%29%5E4=256t%5E8p%5E16u%5E24.