Find the following without using a calculator (show all steps): (5^2 mod 13)^3 mod 7 (3^3 mod 11)^2 mod 5 (2^4 mod 5)^4 mod 3 Show whether the following is true or false: 12≅5(mod 7) 13≅2(mod 11) 100≅3(mod 13) Calculate the following: 100 mod 5 12 mod 7 85 mod 13 Give the set Z_7
