SOLUTION: Thanks for your help ^4 sqrt 81

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Question 124320: Thanks for your help

^4 sqrt 81
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
root%284%2C81%29 Start with the given expression


81%5E%281%2F4%29 Rewrite the radical expression using exponent notation


81%5E%28%281%2F2%29%281%2F2%29%29 Factor 1%2F4 into %281%2F2%29%281%2F2%29


%2881%5E%281%2F2%29%29%5E%281%2F2%29 Rewrite the expression using the identity x%5E%28y%2Az%29=%28x%5Ey%29%5Ez


sqrt%28sqrt%2881%29%29 Convert the expression back to radical notation


sqrt%289%29 Take the square root of 81 to get 9


3 Take the square root of 9 to get 3


So
root%284%2C81%29=3