SOLUTION: Find the indicated root 3rd (cubed) root of -27n27

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Question 119127: Find the indicated root
3rd (cubed) root of -27n27
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression


Convert the expression from radical notation to exponent notation. Remember


Rewrite -27 as -27%5E1


Now distribute the exponent Now distribute the outer exponent 1%2F3 to each exponent in the parenthesis. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29


Now multiply the exponents


Reduce



Now rewrite as


Take the cube root of -27 to get -3



So simplifies to