Question

Find the value of $\frac{100}{10000}$.

• A. ${10}^3$
• B. ${10}^2$
• C. ${10}^{-3}$
• D. ${10}^{-2}$

Answer 1

The correct option is D ${10}^{-2}$

$\frac{100}{10000}$

$=\frac{1}{100}$

$=\frac{1}{{10}^2}$

We know, $a^{-m}=\frac{1}{a^m}$
$⟹\frac{1}{{10}^2}={10}^{-2}$

$\therefore \frac{100}{10000}=\frac{1}{{10}^2}={10}^{-2}$