Final answer:
There are 8,388,608 different ways to answer the exam.
Step-by-step explanation:
To determine the number of different ways to answer the exam, we need to calculate the number of options for each question and then multiply them together. For the multiple-choice questions, there are 4 answer options for each question, so there are 4^8 possible ways to answer them.
For the true-false questions, there are 2 options for each question, so there are 2^7 possible ways to answer them. Therefore, the total number of different ways to answer the exam is 4^8 * 2^7 = 65,536 * 128 = 8,388,608. There are 8,388,608 different ways to answer the exam.