Back to 6.2 Use Multiplication Properties of Exponents

6.2 Exercise 116

Avg difficulty 2.5

Email Kate emails a flyer to ten of her friends and tells them to forward it to ten of their friends, who forward it to ten of their friends, and so on. The number of people who receive the email on the second round is 10210^{2}, on the third round is 10310^{3}, as shown in the table below. How many people will receive the email on the sixth round? Simplify the expression to show the number of people who receive the email.

Round Number of people
1 10
2 10210^{2}
3 10310^{3}
… …
6 ?

OpenStax Elementary Algebra 2e, 6.2 Use Multiplication Properties of Exponents, exercise 116

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.