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(-243)^(1/5)     

 

Evaluate the expression without using a calculator

 

(-243)^1/5

 Jun 8, 2016
 #1
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Simplify the following:
(-243)^(1/5)

 

(-243)^(1/5) = (-1×243)^(1/5) = (-1×3^5)^(1/5):
(-3^5)^(1/5)

 

(-3^5)^(1/5) = (-1)^(1/5) (3^5)^(1/5) = (-1)^(1/5)×3^(5/5) = (-1)^(1/5)×3:
Answer: |  (-1)^(1/5)×3

 

P. S. Some people might give you: -3 as the answer, which is technically NOT correct.

 Jun 8, 2016

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