17d Polya's four-step problem-solving strategy

In how many ways can you answer a 10-question true-false test if you answer each question with either a "true" or a "false"? Part 1 of 5 Try solving a similar but simpler problem. If the test had only one question, the answer could be either "true" or "false." Therefore, there would be 2 N ways to answer . Part 2 of 5 If the test had two questions, the first question could be answered in 2 2 ways. Likewise, the second question could be answered in 2 N ways. We multiply these values to obtain the number of ways both questions could be answered. Therefore, if the test had 2 questions, there would be 4 ways to answer . Part 3 of 5 Similarly, if the test had 3 questions, there would be 8 ways to answer. Part 4 of 5 Further experimentation shows that a test with n questions can be answered in " ways