To determine which of the numbers is larger, we need to make sure that the value of the exponents of both numbers is the same.
The second number can be rewritten as follows:
![4.6*10^5=4.6*10*10^4=46*10^4](https://img.qammunity.org/2023/formulas/mathematics/high-school/4vgtwr9gpcooi4jnwgvow2ugkt6tubd6mr.png)
Since both exponents are the same, we can compare the numbers. Thus, we have:
![8.2<46](https://img.qammunity.org/2023/formulas/mathematics/high-school/robe7a0507hefq7rmvgy9ugevxv0hgba2l.png)
Therefore, the numbers have the following comparison:
![8.2*10^4<4.6*10^5](https://img.qammunity.org/2023/formulas/mathematics/high-school/b58io600l691nyd2qs2qj1qwtq2ezydin4.png)
OPTION B is correct.