What is the last digit in the sum of 2 power 2017 and 3 power 2017?
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5 is the answer of your question
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Answer:notice 2 is congeuent to 1 modulo phi(10)=4 so 2^2016=1(mod 10) so 2^2017=2(mod 10) and 3^2=-1(mod10)so 3^2016=1(mod 10) so 3^2017=3(mod 10) so 2^2017+3^2017=2+3=5(mod 10). So last digit is 5
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