How do you simplify $(5^(1/3))^(1/3)$ ?

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Answer 1 · 2016-07-21T10:00:09

$5^(1/9) = root(9)5$

Using the power law of indices, we can multiply the indices.

$(x^m)^n = x^(mn)$

$(5^(1/3))^(1/3) = 5^(1/9) = root(9)5$

We will need to use a calculator if the actual value is required.

Either index form or as a radical is fine as an answer.

How do you simplify (5^(1/3))^(1/3)(5^(1/3))^(1/3)?