SOLUTION: (-4x^3) (-2x^-5) (1/16x) It just says to simplify and I am so lost please help

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Question 330319: (-4x^3) (-2x^-5) (1/16x) It just says to simplify and I am so lost please help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-4x%5E3%29%28-2x%5E-5%29%281%2F16x%29 Start with the given expression.


%28-4x%5E3%29%28-2%281%2Fx%5E5%29%29%281%2F16x%29 Rewrite x%5E-5 as 1%2Fx%5E5


%28-4x%5E3%29%28-2%2Fx%5E5%29%281%2F16x%29 Multiply -2 and 1%2Fx%5E5 to get -2%2Fx%5E5


%28%28-4x%5E3%29%2A%28-2%29%2A%281%29%29%2F%28%28x%5E5%29%2816x%29%29 Combine the fractions.


%288x%5E3%29%2F%28%28x%5E5%29%2816x%29%29 Multiply -4x%5E3, -2 and 1 to get 8x%5E3


%288x%5E3%29%2F%2816x%5E6%29 Multiply x%5E5 and 16x to get 16x%5E%285%2B1%29=16x%5E6


%28x%5E3%29%2F%282x%5E6%29 Reduce 8%2F16 to get 1%2F2


%28x%2Ax%2Ax%29%2F%282x%5E6%29 Break up x%5E3 to get x%2Ax%2Ax


%28x%2Ax%2Ax%29%2F%282x%2Ax%2Ax%2Ax%2Ax%2Ax%29 Break up x%5E6 to get x%2Ax%2Ax%2Ax%2Ax%2Ax


%28highlight%28x%2Ax%2Ax%29%29%2F%282%2Ahighlight%28x%2Ax%2Ax%29%2Ax%2Ax%2Ax%29 Highlight the common terms


%28cross%28x%2Ax%2Ax%29%29%2F%282%2Across%28x%2Ax%2Ax%29%2Ax%2Ax%2Ax%29 Cancel out the common terms


1%2F%282x%2Ax%2Ax%29 Simplify


1%2F%282x%5E3%29 Multiply out x%2Ax%2Ax to get x%5E3


So %28-4x%5E3%29%28-2x%5E-5%29%281%2F16x%29 simplifies to 1%2F%282x%5E3%29


In other words, %28-4x%5E3%29%28-2x%5E-5%29%281%2F16x%29=1%2F%282x%5E3%29