Using Cyclic rule of unit digit we can find the unit digit of any number written in exponent form. Following steps can be of help.

If a number is written as \(k^{x}\)

Divide the power by 4 and check for remainder.

If remainder =1, unit digit of the answer is going to be same as unit digit of 'k'

If remainder =2, unit digit is going to be the unit digit of \(k^{2}\)

If remainder =3, unit digit is going to be the unit digit of \(k^{3}\)

If remainder =0, unit digit is going to be the unit digit of \(k^{4}\)

For example: To find unit digit of \(2017^{35}\)

Divide the power,35, by 4. Check the remainder

\(\frac{35}{4}\)gives remainder 3

Thus \(2017^{35}\)will have last digit same as last digit of \(2017^{3}\)

7*7*7 gives last digit as 3

Thus answer of above example is 3.

_________________

Abhishek Parikh

Math Tutor

Whatsapp- +919983944321

Mobile- +971568653827

Website: http://www.holamaven.com