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A town has 3 to the 10th power of citizens. If the area has been evenly divided by populations into 3 to the 6th power sections, how many people are in each section?

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Final answer:

To find the number of people in each section, divide the total population by the number of sections. For this town, there are 81 people in each section.

Step-by-step explanation:

To determine the number of people in each section, we need to divide the total population by the number of sections. The population of the town is 3 to the power of 10, which is 3^10. The number of sections is 3 to the power of 6, which is 3^6. So, to find the number of people in each section, we divide 3^10 by 3^6.

3^10 ÷ 3^6 = 3^(10-6) = 3^4 = 3 * 3 * 3 * 3 = 81.

Therefore, there are 81 people in each section.

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