Is there be negative Power of negative number?

$${\left(-{\mathtt{2}}\right)}^{-{\mathtt{3}}} = -{\mathtt{0.125}}$$

$${\frac{{\mathtt{1}}}{{\left(-{\mathtt{2}}\right)}^{{\mathtt{3}}}}} = -{\mathtt{0.125}}$$

$${\frac{{\mathtt{1}}}{\left({\left(-{\mathtt{1}}\right)}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{{\mathtt{3}}}\right)}} = -{\mathtt{0.125}}$$

It is not possible

That's correct. It is not possible