Calculation:
To determine the number of bacteria at the end of 50 hours, we need to calculate the number of divisions the bacterium undergoes in that time period.

Conversion:
First, we need to convert the given time period from hours to minutes, as the bacteria divide every 30 minutes.
50 hours x 60 minutes/hour = 3000 minutes

Number of Divisions:
Since the bacterium divides every 30 minutes, we can calculate the number of divisions by dividing the total time period in minutes by 30.
3000 minutes / 30 minutes/division = 100 divisions

Growth Factor:
Each division results in the formation of two daughter cells, which means the number of bacteria doubles after each division. Therefore, the growth factor is 2.

Total Number of Bacteria:
To calculate the total number of bacteria at the end of 50 hours, we need to raise the growth factor to the power of the number of divisions.
Total number of bacteria = (growth factor)^(number of divisions) = 2^100

Calculating the Answer:
Now, let's calculate 2^100 using the concept of exponentiation.

2^100 = (2^10)^10 = 1024^10 = (1000 + 24)^10

Using the binomial expansion formula, we can expand (1000 + 24)^10 and ignore the terms after the first term, as they would be negligible compared to 1000^10.

(1000 + 24)^10 ≈ 1000^10 + 10*(1000^9)*(24) + higher-order terms

The higher-order terms can be ignored, as they are relatively small in comparison.

Therefore, the total number of bacteria at the end of 50 hours is approximately 1000^10, which is equal to 1 followed by 30 zeros.

Final Answer:
The total number of bacteria at the end of 50 hours is 1 x 10^30 or simply 1 followed by 30 zeros.