a multiple choice test has 8 questions with 4 possible answers for each question. if a student were to guess the answer to each question how many different ways would there be to answer the test

A. 32
B. 4
C. 65 536
D. 4 096

the first can be answered in 4 ways

for each of those, the 2nd can be answered in 4 ways,
so far 4x4 or 16
for each of those 16, the 3rd can be answered in 4 ways,
so far 4x4x4 = 64
...

number of ways = 4^8 or 65635 ways

Well, let's do some math, or math-ish in my case. Each question has 4 possible answers, so for each question, the student has 4 different ways to guess the answer. Since there are 8 questions in total, the student would have 4 choices for the first question, 4 choices for the second question, and so on.

So to find the total number of different ways to answer the test, we need to multiply the number of choices for each question. It's like a math blender, but instead of blending fruits, we're blending numbers.

4 choices x 4 choices x 4 choices x 4 choices x 4 choices x 4 choices x 4 choices x 4 choices = 4^8 = 65,536.

So the correct answer is C. 65,536. That's a whole lotta funny answers!

To determine the number of different ways a student can answer the test, we need to calculate the total number of possible combinations.

For each question, there are 4 possible answers. Since there are 8 questions in total, we need to multiply 4 by itself 8 times (4^8) to find the total number of combinations.

Calculating 4 to the power of 8:

4^8 = 65,536

Therefore, the correct answer is C. 65,536.

To calculate the number of different ways a student can answer the test when guessing the answer to each question, you need to consider the number of choices for each question and then multiply them together for all the questions.

In this case, each question has 4 possible answer choices. Since there are 8 questions in total, you need to multiply the number of choices for each question by itself 8 times.

So, the calculation would be:
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4

Simplifying this expression by multiplying the numbers, you get:
4^8 = 65,536

Therefore, the correct answer would be C. 65,536.