Science:Math Exam Resources/Courses/MATH312/December 2005/Question 02
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Question 02 

True or False Suppose that and with and . Then 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Let's suppose you were trying to prove this. We would start off with and for integers s and t. Then, we are asking if
or isolated,
so finally, this should suggest that if m and d are not coprime, we might be able to find a counter example. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The claims is false. Let so and . Further, let so and . So and . Then and and so and These two values are not equivalent and thus this gives a counter example. 