Question

What is the value of $3^{-2}$?

Answer 1

Find the value of $3^{-2}$.

We know that,

$\begin{array}{rcl}{3}^{-2}& =& \frac{1}{3^2}\left[\because a^{-m}=\frac{1}{a^m}\right]\\ & \Rightarrow & 3^{-2}=\frac{1}{9}\end{array}$

Hence, the required value is $3^{-2}=\frac{1}{9}$.