Answer
The proof is below.
Work Step by Step
We use the power that the exponential is raised to in order to find:
$1 = |\frac{-mv^2}{2kT}|$
$1 = |\frac{mv^2}{2kT}|$
$v = \sqrt{\frac{2kT}{m}}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.