$${\frac{{\mathtt{1}}}{\left({\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)}} = {\frac{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{3}}\right)}{{\mathtt{1}}}} = {\mathtt{3}}$$
$${\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\frac{{\mathtt{1}}}{{\mathtt{8}}}}}} = {\frac{{\mathtt{1}}}{{\mathtt{2}}}} = {\mathtt{0.5}}$$
$${\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\frac{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{1}}\right)}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{2}}\right)}}}} = {\frac{{\mathtt{1}}}{{\mathtt{2}}}}$$