Question

What is the last digit in the sum of 2 power 2017 and 3 power 2017?

Answer 1

5 is the answer of your question

Answer 2

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

Step-by-step explanation: