What is the remainder when is divided by 13?

Answer and explanation

Correct answer: C. 3

  1. Step 1: Find the pattern of remainders of modulo 13: 3, 9, 1, 3, 9, 1, 3.
  2. Step 2: The cycle repeats, and .
Answer
3.
Why not the others: 4: it divides the exponent instead.

Practise more Properties of Integers.

Free questions with an explanation for every one, and full timed Junior Cycle (Ireland) mock tests.