You are taking a multiple-choice test that has 11 questions. each of the questions has 5 choices, with one correct choice per question. if you select one of these options per question and leave nothing blank, in how many ways can you answer the questions?

We have 11 questions each carrying five answers

this means that we have five ways of choosing the first question

five ways of choosing the second question and so on up to the eleventh question.

this means that we have

5^11 possible ways of choosing our answer which is 48,828,125 ways