To express [tex]\(15^{\frac{1}{3}}\)[/tex] in radical form, we need to understand what the expression signifies. The exponent [tex]\(\frac{1}{3}\)[/tex] indicates that we are looking for the cube root of 15.
The cube root of a number is written in radical form as [tex]\(\sqrt[3]{\text{number}}\)[/tex]. Therefore, [tex]\(15^{\frac{1}{3}}\)[/tex] can be rewritten as [tex]\(\sqrt[3]{15}\)[/tex].
Thus, [tex]\(15^{\frac{1}{3}}\)[/tex] in radical form is:
[tex]\[
\sqrt[3]{15}
\][/tex]
The correct option is:
[tex]\[
\sqrt[3]{15}
\][/tex]
