Question

What is the multiplicative inverse of $3^{-5}$?

• A. $243$
• B. $-\frac{1}{243}$
  
• C. $-243$
• D. $\frac{1}{243}$

Answer 1

The correct option is A $243$

$a^m$ and $a^{-m}$ are multiplicative inverse of each other.
Hence, the multiplicative inverse of $3^{-5}$ is $3^5$.
The value of $3^5$ is 243.