Question

Find the unit digit of
2018^2019^123456789101112

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Answer 1

Answer:

For the concept of identifying the unit digit, we have to first familiarize with the concept of cyclicity. Cyclicity of any number is about the last digit and how they appear in a certain defined manner. Let’s take an example to clear this thing:

The cyclicity chart of 2 is:

21 =2

22 =4

23 =8

24=16

25=32

What is the unit digit of the expression 4993?

Now we have two methods to solve this but we choose the best way to solve it i.e. through cyclicity

We know the cyclicity of 4 is 2

Have a look:

41 =4

42 =16

43 =64

44 =256

The digit in the unit place of the number 7295 X 3158 is

A. 7

B. 2

C. 6

D. 4

Solution

The Cyclicity table for 7 is as follows:

71 =7

72 =49

73 = 343

74 = 2401

By these methods we can solve the unit expression

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