Question

What will be the last digit, when you expand 8²⁵.?
1. 4
2. 6
3. 1
4. 8

Answer 1

Correct Answer - Option 4 : 8

Given:

The number is 8²⁵.

Calculation:

⇒ The possibility of the last digit of 8ⁿ is 8, 4, 2, and 6.

⇒ The unit digit of 8ⁿ gets repeated for every fourth power of 8ⁿ

⇒ Remainder obtained when 25 divided by 4 is 1.

⇒ 8²⁵ = 8^{4 × 6 × 1} ≈ 8¹ than unit digit is 8

∴ The required result will be 8.