[tex]\frac{1}{x^{-\frac{3}{6}}}\\------------------\\-\frac{3}{6}=-\frac{3:3}{6:3}=-\frac{1}{2}\\\\use:\\\\(1)\ \left(\frac{1}{a}\right)^n=\frac{1}{a^n}\\\\(2)\ a^{-n}=\left(\frac{1}{a}\right)^n\\\\(3)\ a^\frac{1}{n}=\sqrt[n]{a}[/tex]
[tex]\frac{1}{x^{-\frac{3}{6}}}=\frac{1}{x^{-\frac{1}{2}}}\to(1)\to\left(\frac{1}{x}\right)^{-\frac{1}{2}}\to(2)\to\left(\frac{x}{1}\right)^\frac{1}{2}=x^\frac{1}{2}\to(3)\to\boxed{\boxed{\sqrt[2]{x}=\sqrt{x}}}[/tex]
[tex]Domain:\\x\neq0\ and\ x\geq 0\Rightarrow x \ \textgreater \ 0\to x\in(0;\ \infty)[/tex]
