Question

Which of the following options are equal to $3^{-2}$?

• A. $\frac{1}{3^2}$
• B. $\frac{1}{9}$
• C. $\frac{1}{6}$
• D. $9^{-1}$

Answer 1

Answer: (A), (B), (D)

The correct options are
A $\frac{1}{3^2}$
B $\frac{1}{9}$
D $9^{-1}$

We know that $a^{-m}=\frac{1}{a^m}$ for a non-zero integer $a$ and an integer $m.$

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