A true-false test contains 20 questions. In how many different ways can this test be completed? (Assume we don't care about our scores.) This test can be] completed in different ways. Question Help: $\square$ Video $\square$ Message instructor Submit Question

Step 1 ：Each question on the test can be answered in two ways: either true or false. Since there are 20 questions, and each question is independent of the others, we can use the multiplication principle of counting to find the total number of ways the test can be completed. The multiplication principle states that if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m*n ways. In this case, each of the 20 questions can occur in 2 ways (true or false), so the total number of ways the test can be completed is \(2^{20}\).

Step 2 ：Calculating \(2^{20}\) gives us the total number of ways the test can be completed.

Step 3 ：Final Answer: The test can be completed in \(\boxed{1048576}\) different ways.