Question

What will be the multiplicative inverse of
$5^2$?

• A. $\frac{1}{5}$
  
• B. $\frac{1}{5^{-2}}$
  
• C. $5^{-2}$
  
• D. $5^{-3}$

Answer 1

The correct option is C $5^{-2}$


We know that, $a^{-m}=\frac{1}{a^m}$
$\Rightarrow a^{-m}\times a^m=1$
$\Rightarrow a^{-m}$ and $a^m$ are multiplicative inverse of each other.

So, Multiplicative inverse of $5^2$ will be $5^{-2}$.
Hence, option 'b' is correct.