The maximum fequency for reflection of sky waves from a certain layer of the ionosphere is found to be `f_(max) =9(N_(max))^(1//2)`, Where N _max is the maximum electron density at that layer of the ionosphere.On a certain day it is observed that signals of frequencies higher than 5 MHz are not received by reflection from the `F_(1)` layer of the ionosphere while signals of frequencies higher than 8 MHz are not received by reflection from the `F_(2)` layer of the ionosphere. Estimate the maximum electron densities of the `F_(1)` and `F_(2)` layers on that day.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the relationship
The maximum frequency for reflection of sky waves from a layer of the ionosphere is given by the formula:
\[ f_{max} = 9(N_{max})^{1/2} \]
where \( N_{max} \) is the maximum electron density at that layer.

### Step 2: Convert frequencies from MHz to Hz
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