Question

Multiplicative inverse of ${10}^{-100}$ is:

• A. 10
• B. 100
• C. ${10}^{100}$
• D. ${10}^{-100}$

Answer 1

The correct option is C

${10}^{100}$

${10}^{-100}=\frac{1}{{10}^{100}}[\because \frac{1}{a^m}=(a{)}^{-m}]$
Multiplicative inverse of $\frac{1}{x}(x\ne 0)$ is $x$.
So, multiplicative inverse of $\frac{1}{{10}^{100}}$ is ${10}^{100}$.
$[\frac{1}{{10}^{100}}\times {10}^{100}=1]$