Question

The last digit of 6⁵⁰ is ……………

A) 1 

B) 6

C) 2 

D) 3

Answer 1

Correct option is (B) 6

\(\because\) Cyclicity of 6 is 1.

Thus, last digit of any natural number powers of 6 is 6.

Alternative :-

Last digit of \(6^2\) is 6.  \((\because\) Last digit of \((6^2=36))\)

Last digit of \(6^3\) is 6.   \((\because\) Last digit of \((6^3=216)\) is 6)

Here, we see that 6 to the power any natural numbers ends with 6.

Thus, we conclude that last digit of \(6^{50}\) is 6.

Answer 2

Correct option is B) 6