# What is the last digit of this number? #2222^3333#

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Q. Find the last digit of #2222^3333#

I know that this is the same thing as finding the remainder when divided by 10 (mod 10). But how do we go about it?

Q. Find the last digit of

I know that this is the same thing as finding the remainder when divided by 10 (mod 10). But how do we go about it?

##### 1 Answer

May 13, 2018

The last digit will be

#### Explanation:

The powers of

The last digits form the pattern,

The powers of any number where the last digit is

After a group of

We need to find where

This means that the pattern has repeated