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Question
you are taking a multiple-choice test that has 8 questions. each of the questions has 5 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 \boxed{} ways.
Step1: Determine choices per question
Each question has 5 choices.
Step2: Calculate total ways
Total ways = $5^8$ (multiplication principle for 8 questions).
Step3: Compute the result
$5^8 = 5×5×5×5×5×5×5×5 = 390625$.
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390625