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For a certain positive integer \(n\), \(n^2\) gives a remainder of 4 when divided by 5, and \(n^3\) gives a remainder of 2 when divided by 5. What remainder does n give when divided by 5?

 

Please help! smiley

 

I tried trial and error, but that didn't work! An explanation would be appreciated! smiley

 Aug 3, 2020
 #1
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Did you try:  (5 + 3)^2 mod 5      =

                        (5 + 3)^3 mod 5   =

                        (5 + 3) mod 5       =

 Aug 3, 2020

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