Question

Prove the divisibility of the following number:
7^6 +7^5 -7^4 is by 11

Answer 1

7^6=117649
7^5=16807
7^4=2401

117649+16807-2401=132055

132055/11=12005
Because the above division problem led to the result of a whole number (or integer), that means that the number given is divisible by 11.