![(2.1X10^8)/(4.2X10^2)](https://img.qammunity.org/2023/formulas/mathematics/college/htifb2cykvkhfuwgal3jqjtmyxp335itr7.png)
Since the question requires determining how many times 4.2 x 10^2 will be found in 2.1 x 10^8.
We simply have to divide 2.1 x 10^8 by 4.2 x 10^2
![(2.1)/(4.2)\text{ x}(10^8)/(10^2)](https://img.qammunity.org/2023/formulas/mathematics/college/eceyigeboclew3rlm0ly71tdcwcct2dcz1.png)
Dividing the numerator and denominator and applying the laws of indices
![(1)/(2)X10^{8\text{ - 2}}](https://img.qammunity.org/2023/formulas/mathematics/college/z0cqy4e73azmwy8tn6r081pot7hztsyiua.png)
=> 0.5 x 10^6
=> 5 x 10^5
Option C is correct