Assigning a value to 0" The rules of exponents tell us that a° = 1 if a is any number different from zero. They also tell us that 0" = 0 if n is any positive number. If we tried to extend these rules to include the case 0°, we would get conflicting results. The first rule would say 0° = 1, whereas the second would say 0° = 0. We are not dealing with a question of right or wrong here. Neither rule applies as it stands, so there is no contradiction. We could, in fact, define 0º to have any value we wanted as long as we could persuade others to agree. What value would you like 0° to have? Here is an example that might help you to decide. (See Exercise 2 below for another example.) a. Calculate r* for x = 0.1, 0.01, 0.001, and so on as far as your calculator can go. Record the values you get. What pattern do you sæe? b. Graph the function y = x* for 0

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