Question

find the value of under root (3 power -2)

Answer 1

$$\begin{gathered} \sqrt{3^{-2}} \\ ={\left(3^{-2}\right)}^{\frac{1}{2}} \\ =3^{-2\times \frac{1}{2}}\{\mathrm{Since};{\left({\mathrm{a}}^{\mathrm{m}}\right)}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}\times \mathrm{n}}\} \\ =3^{-1}\{\mathrm{Since};{\mathrm{a}}^{-1}=\frac{1}{\mathrm{a}}\} \\ =\frac{1}{3} \end{gathered}$$