# Question: q asking for assistance in understanding and solving this example...

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Q: Asking for assistance in understanding and solving this example on Modern Algebra II with the steps of the solution to better understand, thanks.

****Please give the step by steps with details to
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1) Determine all elements in an integral domain that are their own inverses under multiplication.

2) Let **F** be a finite field with n elements.
Prove that x^(n-1 )= 1 for all nonzero x in **F**.
*Hint*: Use the fact that the nonzero elements of
**F** form a group under the multiplication
operation.