A multiple-choice test consists of 6 questions with each question having 4 possible answers. How many different ways are there to mark the answers? \( \square \) ways
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To determine the number of different ways to mark the answers on a multiple-choice test consisting of 6 questions with 4 possible answers for each, we can use the multiplication principle. Since each question has 4 choices, and there are 6 independent questions, the total number of ways to mark the answers is calculated as: \[ 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 4^6 \] Calculating \( 4^6 \): \[ 4^6 = 4096 \] Thus, the total number of ways to mark the answers is \( 4096 \) ways.
