Question

The multiplicative inverse of ${10}^{-7}$ is ___

Answer 1

Multiplicative inverse of any number x is 1/x; so that when these two are multiplied, the product value is 1. Therefore the multiplicative inverse of ${10}^{-7}$should be a number which when multiplied with ${10}^{-7}$ gives 1.Let the multiplicative inverse of ${10}^{-7}$ be x
${10}^{-7}\times$$x$ $=$ $1$
$\Rightarrow$$x=$ $\frac{1}{{10}^{-7}}$
$\Rightarrow$$x=$ ${10}^7$