SOLUTION: Hello, I have a question on simplifying radicals such as this one {{{(81)^(1/3)}}}. the answer to it is {{{3(3^(1/3))}}} but I would like to know how you reach that answer. Tha

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Question 986891: Hello,
I have a question on simplifying radicals such as this one .
the answer to it is but I would like to know how you reach that answer.
Thanks in advance!!

Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
3(3^(1/3)

According with rules of handling exponents,
3*3^(1/3)=3^(1+1/3)=3^(4/3)

Rendering might not show too well but ....


---
Trying to simplify original expression:




and your expected answer does not seem to be the only or best, but...
-----which what I would stay with,...


-------but why?

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