How is t^-1/2 written in mathematical notation?

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1/t or 1/ (t^(1/2)
 
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t^{-1/2}=\frac{1}{t^{1/2}}.
 
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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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