How do you write $root3(125)$ in exponential form?

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Answer 1 · 2016-06-02T12:05:46

$root3 125 = 125^(1/3)$

You need to be aware that roots can be written as indices (exponents).
By definition, $rootn x = x^(1/n)" " eg. sqrtx = x^(1/2)$

This is then true for any root $rArr root3 x = x^(1/3)$

In this case $root3 125 = 125^(1/3)$

This is now written in the required form, but it can be simplified
to give an answer of 5.

$root3 125 = root 3 5^3 = 5$

How do you write root3(125)root3(125) in exponential form?