Question

Find the last digit of ${13}^{59}$.

Answer 1

The number of digits in the base will not make a difference to the last digit It is last digit of the base which decides the last digit of the number itself.

For ${13}^{59}$, we find $\frac{59}{4}$ which gives a remainder $3$.

So, the last digit of ${13}^{59}$ is same as the last digit of $3^3$ i.e. $7$.