What is the remainder when 17^23 is divided by 5?
✓ Correct Answer: Option B
17 mod 5 = 2. Powers of 2 mod 5 cycle: 2,4,3,1,2,4,3,1... 23 mod 4 = 3. So remainder = 2³ mod 5 = 8 mod 5 = 3. Wait: 2¹=2, 2²=4, 2³=3, 2⁴=1. 23 mod 4 = 3 → answer is 3.
17 mod 5 = 2. Powers of 2 mod 5 cycle: 2,4,3,1,2,4,3,1... 23 mod 4 = 3. So remainder = 2³ mod 5 = 8 mod 5 = 3. Wait: 2¹=2, 2²=4, 2³=3, 2⁴=1. 23 mod 4 = 3 → answer is 3.