Units Digit of 6ⁿ − 5ⁿ for Any Natural Number n

Video Explanation

Watch the video below for a clear explanation:

Solution

Question: If n is any natural number, then 6ⁿ − 5ⁿ always ends with:

(a) 1    (b) 3    (c) 5    (d) 7

Step 1: Observe the Units Digit Pattern

The units digit of 6ⁿ for any natural number n is always 6.

The units digit of 5ⁿ for any natural number n is always 5.

Step 2: Subtract the Units Digits

Units digit of (6ⁿ − 5ⁿ) = 6 − 5 = 1

Final Answer

✔ 6ⁿ − 5ⁿ always ends with 1.

✔ Correct option: (a) 1

Conclusion

Thus, for every natural number n, the expression 6ⁿ − 5ⁿ always ends with the digit 1.