Question

Evaluate the following expression. 3^-2

Answer 1

Answer: The simplified form is $\frac{1}{9}$

Step-by-step explanation:

Since we have given that

$3^{-2}$

As we know the  "Exponential law":

$a^{-1}=\frac{1}{a^m}$

So, it becomes

$3^{-2}=\frac{1}{3^2}$

Now, at last it becomes,

$3^{-2}=\frac{1}{3\times 3}=\frac{1}{9}$

Hence, the simplified form is $\frac{1}{9}$

Answer 2

3^ -2 = 1/3^2=1/9. in general a^-x = 1/a^x