Question

Find the multiplicative inverse of ${10}^{-10}$.

• A. 10000000
• B. 0.000000001
• C. 0.0000000001
• D. 10000000000

Answer 1

The correct option is D

10000000000

${10}^{-10}$
= $\frac{1}{{10}^{10}}$
= $\frac{1}{10000000000}$

When a number is multiplied by its multiplicative inverse, the result is 1. To make the given number, which is $\frac{1}{10000000000}$, equal to 1, we need to multiply it with 10000000000, which is the reciprocal of $\frac{1}{10000000000}$.

Therefore, 10000000000, or ${10}^{10}$. is the multiplicative inverse of ${10}^{-10}$.