Find the last digit of 541^(341). Clearly, the last digit would be one, but I don't know how to go about showing that it would be one. Can someone help please?
by induction : 541^n ,
for n = 1 , 541^1 = 541 => it ends with 1 true
assume that 541^k ends with one is true and proof that 541^(k+1) ends with one
now 541^(k+1) = 541^k * 541 ,,, we prooved that 541^k ends with one and 541 ends with one the multiplication of two numbers that ends with one will result in a number that ends with one .