Use Multiplication Properties of Exponents · Exercise 85

Email Janet emails a joke to six of her friends and tells them to forward it to six of their friends, who forward it to six of their friends, and so on. The number of people who receive the email on the second round is $6^2,$ on the third round is $6^3,$ as shown in the table. How many people will receive the email on the eighth round? Simplify the expression to show the number of people who receive the email.

$$\begin{array}{cc}\text{Round}& \text{Number of people}\\ 1& 6\\ 2& 6^2\\ 3& 6^3\\ \dots & \dots \\ 8& ?\end{array}$$

This problem refers to a figure in its source book that isn't reproduced here.

OpenStax, Prealgebra 2e · §10.2 Use Multiplication Properties of Exponents · Exercise 85