- #1
valianth1
- 5
- 0
Homework Statement
Evaluate (16^1000 - 18^2000)(mod 17)
Homework Equations
I'm not sure how to go about doing this, but I realise it has something to do with the pattern from the last digit obtained from the 2 large numbers
Homework Statement
Evaluate (16^1000 - 18^2000)(mod 17)
Homework Equations
I'm not sure how to go about doing this, but I realise it has something to do with the pattern from the last digit obtained from the 2 large numbers
The Attempt at a Solution
16(mod 17) = -1 and 18(mod 17) = 1, how do I go from here?
Turns out 16(mod17) is 16, so how would I go about calculating 16^1000 seeing that the exam does not permit calculators? So would the solution be 16^1000 - 1^2000? So is the solution 15? Because using the calculator returns 0 which I don't think is right