SOLUTION: Please help me evaluate this expression without using a calculator: (-32)^3/5

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Question 437664: Please help me evaluate this expression without using a calculator: (-32)^3/5
Found 2 solutions by robertb, jim_thompson5910:
Answer by robertb(5830) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-32%29%5E%283%2F5%29%5E%22%22=%28root%285%2C-32%29%29%5E3=%28-2%29%5E3=-8


So %28-32%29%5E%283%2F5%29%5E%22%22=-8


Things to note:


1) x%5E%28m%2Fn%29%5E%22%22=%28root%28n%2Cx%29%29%5Em. So %28-32%29%5E%283%2F5%29%5E%22%22=%28root%285%2C-32%29%29%5E3


2) Since %28-2%29%5E5=-32, this means that root%285%2C-32%29=-2