Question

27^1001 is divided by 13. is there any short cut for this kind of problems

Answer 1

u sure u got the exponent number right? the result comes out to be too huge, i might add even as infinity

Answer 2

What is the remainder when 27^1001 is divided by 13, and the remainder when 38^101 is divided by 13? How would I then show that 70 x 27^1001 + 38^101 is divisible by 13?

Answer 3

another question : What is the remainder when 17^23 is divided by 16?
how to solve this kind of problems? need a short cut

Answer 4

What is the remainder when 27^1001 is divided by 13

let me ask u a question : whats remainder when 27 is divided by 13 ?

Answer 5

1

Answer 6

yes,

27 = 1 (mod 13)

(27)^anything = 1^anything (mod 13)

Answer 7

mod is just a fancy way of saying remainder

Answer 8

70 x 27^1001 + 38^101 (mod 13)

is same as


70 x 1^1001 + 38^101 (mod 13)

Answer 9

work 38^101 also similar way

whats the remainder when 38 is divided by 13 ?

Answer 10

12

Answer 11

thats right, but we can also represent remainder in negatives right ?

Answer 12

remainder of 12 means, 12 is extra
remainder of -1 means, 1 is missing

Answer 13

both 12 and -1 mean same, when talking about remainder ok ?

Answer 14

hope you can do the rest :)