Question

a science quiz has eight multiple choice questions with five choices for each. Find the total number of ways to answer the question

Answer 1

Answer:

390625

Step-by-step explanation:

The questions are all independent -- the answer on one question does not limit the number of possible answers on another question.

The quiz has 5 choices for each question, so there are

$5\times5\times5\times5\times5\times5\times5\times5$ ways to answer the quiz questions.

Notice that this could be written $5^8$.  You could say that the number of ways to answer the questions is

$number \, of \, choices^{number \, of \, questions}$

Use a calculator to find $5^8$