The digit in the unit's place of $13^{37}$ is : |
1 4 0 3 |
3 |
The correct answer is Option (4) → 3 Unit digit of $13^{37}$ = Unit digit of $3^{37}$ $⇒3^{37}=(3^4)^9.3^1$ and, Unit digit of $3^4=1$ ∴ Unit digit of $3^{37}=1.3=3$ ⇒ Unit digit of $13^{37}=3$ |