Question

The multiplicative inverse of 10^-100 is ?

• A. 10
• B. 100
• C. 10^-100
• D. 10¹⁰⁰

Answer 1

The correct option is D

10¹⁰⁰

correct option (d) 10¹⁰⁰.

By the law of exponent, we know ,

$$\begin{gathered} {\mathrm{a}}^{-\mathrm{n}}=\frac{1}{{\mathrm{a}}^{\mathrm{n}}}. \\ \mathrm{so},{10}^{-100}=\frac{1}{{10}^{100}} \end{gathered}$$

The multiplicative inverse for any integer a is $\frac{1}{\mathrm{a}}$, such that;

a x$\frac{1}{\mathrm{a}}$ = 1

as, $\frac{1}{{10}^{100}}$x 10¹⁰⁰ = 1

Hence, the multiplicative inverse for $\frac{1}{{10}^{100}}$ is 10¹⁰⁰.