Question 179542
I'm assuming that the expression is *[Tex \LARGE \sqrt[7]{18}] (this is the 7th root of 18)



It turns out that we can convert to exponential notation using the identity 



*[Tex \LARGE \sqrt[n]{x^m}=x^{\frac{m}{n}}]



In this case, {{{x=18}}}, {{{m=1}}} and {{{n=7}}}



So...



*[Tex \LARGE \sqrt[n]{x^m}=x^{\frac{m}{n}}] Start with the given identity



*[Tex \LARGE \sqrt[7]{18^1}=18^{\frac{1}{7}}] Plug in {{{x=18}}}, {{{m=1}}} and {{{n=7}}}




So this shows that *[Tex \LARGE \sqrt[7]{18}=18^{\frac{1}{7}}]