Question

you are taking a multiple-choice test that has 5 questions. each of the questions has 4 answer choices, with one correct answer per question. if you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?
you can answer the questions in \\(\square\\) ways.

Explanation:

Step1: Use the multiplication principle

For each of the 5 questions, there are 4 choices.

Step2: Calculate the total number of ways

By the multiplication principle, the total number of ways to answer the 5 - question test is \(4\times4\times4\times4\times4\).
We can write this as \(4^{5}\).

$$4^{5}=4\times4\times4\times4\times4 = 1024$$

Answer:

1024